共查询到20条相似文献,搜索用时 31 毫秒
1.
We consider a system of nonlinear spinor and scalar fields with minimal coupling in general relativity. The nonlinearity in the spinor field Lagrangian is given by an arbitrary function of the invariants generated from the bilinear spinor forms S= and P=i5; the scalar Lagrangian is chosen as an arbitrary function of the scalar invariant = ,,, that becomes linear at 0. The spinor and the scalar fields in question interact with each other by means of a gravitational field which is given by a plane-symmetric metric. Exact plane-symmetric solutions to the gravitational, spinor and scalar field equations have been obtained. Role of gravitational field in the formation of the field configurations with limited total energy, spin and charge has been investigated. Influence of the change of the sign of energy density of the spinor and scalar fields on the properties of the configurations obtained has been examined. It has been established that under the change of the sign of the scalar field energy density the system in question can be realized physically iff the scalar charge does not exceed some critical value. In case of spinor field no such restriction on its parameter occurs. In general it has been shown that the choice of spinor field nonlinearity can lead to the elimination of scalar field contribution to the metric functions, but leaving its contribution to the total energy unaltered. 相似文献
2.
Exact static solutions of spinor-field equations with nonlinear terms that are arbitrary functions of the invariant S=ψψ are
obtained in the external gravitational field of a Hedel universe. The specific type of nonlinear Lagrangian that produces
regular and localized distributions of spinor-field energy density is discussed. Exact solutions of the original equations
are also obtained in plane spacetime. Here it is shown that irrespective of the form of the nonlinear Lagrangian, the energy
density of the spinor field is constant, i.e., there is no localization. This means that the external gravitational field
of a Hedel universe has a definite role in forming soliton-like configurations of the nonlinear spinor field.
Russian University of International Amity. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 111–116,
July, 1996. 相似文献
3.
The dynamics of a flat isotropic brane Universe with two-component matter source —perfect fluid with the equation of statep = (γ − 1)ρ and a scalar field with a power-law potentialV ∼ φα is investigated. We describe solutions for which the scalar field energy density scales as a power-law of the scale factor.
We also describe solutions existing in regions of the parameter space where these scaling solutions are unstable or do not
exist. 相似文献
4.
Kalyani Desikan 《Pramana》1995,45(6):511-517
BD-FRW universe filled with imperfect fluid having bulk viscosity is investigated under the framework of Israel-Stewart-Hiscock
causal theory. The field equations have been solved by using the relationφ=KR
α
whereK andα are constants, between the Brans-Dicke scalar fieldϕ and the scale factorR. This relation, in fact, leads to a constant deceleration parameterq. It is shown that the constancy of the deceleration parameter permits only two possibilities i.e. eitherH=constant withm=1 orm=(1+b −α)/(2(1+b) −α), irrespective of the value ofɛ. 相似文献
5.
K. A. Bronnikov J. C. Fabris A. Zhidenko 《The European Physical Journal C - Particles and Fields》2011,71(11):1791
We study the stability of static, spherically symmetric solutions to the Einstein equations with a scalar field as the source.
We describe a general methodology of studying small radial perturbations of scalar-vacuum configurations with arbitrary potentials
V(ϕ), and in particular space-times with throats (including wormholes), which are possible if the scalar is phantom. At such
a throat, the effective potential for perturbations V
eff has a positive pole (a potential wall) that prevents a complete perturbation analysis. We show that, generically, (i) V
eff has precisely the form required for regularization by the known S-deformation method, and (ii) a solution with the regularized
potential leads to regular scalar field and metric perturbations of the initial configuration. The well-known conformal mappings
make these results also applicable to scalar-tensor and f(R) theories of gravity. As a particular example, we prove the instability of all static solutions with both normal and phantom
scalars and V(ϕ)≡0 under spherical perturbations. We thus confirm the previous results on the unstable nature of anti-Fisher wormholes and
Fisher’s singular solution and prove the instability of other branches of these solutions including the anti-Fisher “cold
black holes.” 相似文献
6.
We obtain exact cosmological solutions of a higher derivative theory described by the Lagrangian L=R+2αR
2 in the presence of interacting scalar field. The interacting scalar field potential required for a known evolution of the
FRW universe in the framework of the theory is obtained using a technique different from the usual approach to solve the Einstein
field equations. We follow here a technique to determine potential similar to that used by Ellis and Madsen in Einstein gravity.
Some new and interesting potentials are noted in the presence of R
2 term in the Einstein action for the known behaviours of the universe. These potentials in general do not obey the slow rollover
approximation. 相似文献
7.
V. P. Ruban 《Journal of Experimental and Theoretical Physics》2010,111(5):776-785
We consider slow, compared to the speed of sound, motions of an ideal compressible fluid (gas) in a gravitational field in
the presence of two isentropic layers with a small specific-entropy difference between them. Assuming the flow to be potential
in each of the layers (v
1, 2 = ▿ϕ1, 2) and neglecting the acoustic degrees of freedom (div($
\bar \rho
$
\bar \rho
(z)▿ϕ1, 2) ≈ 0, where $
\bar \rho
$
\bar \rho
(z) is the average equilibrium density), we derive the equations of motion for the boundary in terms of the shape of the surface
z = η(x, y, t) itself and the difference between the boundary values of the two velocity field potentials: ψ(x, y, t) = ψ1 − ψ2. We prove the Hamilto nian structure of the derived equations specified by a Lagrangian of the form ℒ = ∫$
\bar \rho
$
\bar \rho
(η)η
t
ψdxdy − ℋ{η, ψ}. The system under consideration is the simplest theoretical model for studying internal waves in a sharply stratified
atmosphere in which the decrease in equilibrium gas density due to gas compressibility with increasing height is essentially
taken into account. For plane flows, we make a generalization to the case where each of the layers has its own constant potential
vorticity. We investigate a system with a model dependence $
\bar \rho
$
\bar \rho
(z) ∝ e
−2αz
with which the Hamiltonian ℋ{η, ψ} can be represented explicitly. We consider a long-wavelength dynamic regime with dispersion
corrections and derive an approximate nonlinear equation of the form u
t
+ auu
x
− b[−$
\hat \partial _x^2
$
\hat \partial _x^2
+ α2]1/2
u
x
= 0 (Smith’s equation) for the slow evolution of a traveling wave. 相似文献
8.
We solve the general problem of mixing of electromagnetic and scalar or pseudoscalar fields coupled by axion-type interactions
L
int = g
ϕ
ϕε
μναβ
F
μν
F
αβ
. The problem depends on several dimensionful scales, including the magnitude and direction of background magnetic field,
the pseudoscalar mass, plasma frequency, propagation frequency, wave number, and finally the pseudoscalar coupling. We apply
the results to the first consistent calculations of the mixing of light propagating in a background magnetic field of varying
directions, which show a great variety of fascinating resonant and polarization effects.
相似文献
9.
Satoshi Ikeda 《International Journal of Theoretical Physics》1976,15(5):377-387
In this paper, continued from the last paper (Ikeda, 1974), two kinds of structurological generalizations of our nonlocal
field (i.e., the (x, ψ) field) are considered physicogeometrically. One is a Finslerian generalization, where the base field [i.e., the (x) field] is extended to a Finslerian field and Weyl's gauge field (i.e., the electromagnetic potential) is physically identified
with the directional vector adopted as the internal variable in the ordinary nonlocal field theory. Another is a generalization
by which the spinor (ψ) itself is taken as an independent variable, where some inherent characteristics ofψ are fused into the spatial structure. The latter is regarded as a “nonlocalization” of the (x) field accomplished by attachingψ to each point, in the true sense of the word. Particularly, the spatial structures of these generalized nonlocal fields are
described in detail. 相似文献
10.
Nabamita Banerjee Rajeev Kumar Jain Dileep P. Jatkar 《General Relativity and Gravitation》2008,40(1):93-105
We study interacting scalar field theory non-minimally coupled to gravity in the FRW background. We show that for a specific
choice of interaction terms, the energy–momentum tensor of the scalar field ϕ vanishes, and as a result the scalar field does
not gravitate. The naive space dependent solution to equations of motion gives rise to singular field profile. We carefully
analyze the energy–momentum tensor for such a solution and show that the singularity of the solution gives a subtle contribution
to the energy–momentum tensor. The space dependent solution therefore is not non-gravitating. Our conclusion is applicable
to other space–time dependent non-gravitating solutions as well. We study hybrid inflation scenario in this model when purely
time dependent non-gravitating field is coupled to another scalar field χ. 相似文献
11.
Exact self-consistent solutions of the equations that describe a system of interacting spinor and massless scalar fields with the interaction Lagrangian Lint=,,(S), where (S) is an arbitrary function of the invariant S=, are obtained in Bianci I space. The possibility of excluding the initial singularity is studied for the case of a power-law function (S), and isotropic expansion of the space as t is established.Russian University of International Amity. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 53–58, July, 1995. 相似文献
12.
K. A. Bronnikov E. N. Chudaeva G. N. Shikin 《International Journal of Theoretical Physics》2009,48(8):2214-2221
We consider Bianchi type I cosmologies with unidirectional magnetic and electric fields, assuming as well the existence of
a global spinor field ψ(t) as one more possible source of gravity able to suppress the inevitable anisotropy accompanying a nonzero vector field. The
field ψ(t) is assumed to contain a nonlinearity in the form s
n
, where
and n=const (the special case n=1 corresponds to a Dirac massive field). The structure of the stress-energy tensor of the spinor field is shown to be the
same as that of a perfect fluid with the equation of state p=w
ρ where w=n−1. The Dirac massive spinor field and nonlinear fields with n<4/3 are shown to be able to provide isotropization. A numerical estimate shows that this isotropization could occur early
enough to be compatible with observations. 相似文献
13.
A. H. Taub 《Letters in Mathematical Physics》1985,9(3):243-253
Five-dimensional classical unified field theories as well as in Yang-Mills theory with gauge group U(1), are described in
terms of a Lorentzian five-dimensional space V
5 with metric tensor y
;; which admits a space-like Killing vector ξα. It is assumed that: (1) V
5 has the topology of V
4×S
1, S
1 is a circle and V
4 is a four-dimensional Lorentzian space that is asymptotically flat and (2) the Einstein tensor Γαβ of V
5 satisfies
, where u
α and v
β are future oriented time-like vectors with
. The spinor approach of Witten, Nester, and Moreschi and Sparling is used to show that the conserved five-dimensional energy
momentum vector P
; is nonspace-like. If P
;=Γαβ=0 then V
5 must admit a time-like Killing vector. Lichnerowicz's results then imply that V
5 must be flat. A lower bound for P
4 (the mass) similar to that found by Gibbons and Hull is obtained. 相似文献
14.
A. V. Lazuta 《JETP Letters》1997,65(4):363-368
Recent results on the effect of magnetic field on the sound velocity V in aluminosilicate glasses doped with dysprosium are analyzed on the basis of a minimal model for the ground state of Dy3+ (Kramers ion with J=15/2) described by a wave function ϕ
± = ϕ
±
J
m + ηϕ
± 1/2. The first term represents a state with a large J projection on the local crystal field axis and the random parameter η(〈η〉=0, 〈η
2〉≪1) introduces a small admixture of the state ϕ
±1/2 into the ground state. The relative variation of V due to the resonance interaction of sound waves with this state split by H is determined as a function of H and T. It possesses a universal asymptotic behavior. Our results are in reasonable agreement with the experiment. A possible structure
of the crystal fields that can induce this state is discussed.
Pis’ma Zh. éksp. Teor. Fiz. 65, No. 4, 341–346 (25 February 1997)
Published in English in the original Russian journal. Edited by Steve Torstveit. 相似文献
15.
Yu. S. Vladimirov 《General Relativity and Gravitation》1982,14(12):1167-1181
A version of the five-dimensional unified theory of gravitation, electromagnetism, and scalar field is developed. It is shown that in this theory the main features of Kaluza's five-dimensional theory and the Weyl one, based on non-Riemannian geometry and on conformal mapping, are combined. Some reasons are pointed out for choosing the physical 4-metric to be conformal (with the factor
2=–G
55) to the 4-metric obtained by 1+4 splitting of the initial five-dimensional manifold. It is shown that the electrical charge and current appear in the geometrical theory if the condition of cylindrical symmetry in the fifth coordinate is substituted by the condition of quasicylindrical symmetry (i.e., the physical 4-metric and the vector potential of electromagnetic field remain independent of the fifth coordinate, while the scalar field depends on it). Two kinds of the most important exact solutions of the 15 field equations are considered. They are (1) static spherically symmetrical solutions and (2) homogeneous isotropic cosmological models. 相似文献
16.
Generalizing the work of Einstein and Mayer, it is assumed that at each point of space-time there exists a vector-spinor space with Nv vector dimensions and Ns spinor dimensions, where Nv=2k and Ns=2
k, k3. This space is decomposed into a tangent space with4 vector and4 spinor dimensions and an internal space with Nv–4 vector and Ns–4 spinor dimension. A variational principle leads to field equations for geometric quantities which can be identified with physical fields such as the electromagnetic field, Yang-Mills gauge fields, and wave functions of bosons and fermions. 相似文献
17.
Peter J. Adams 《International Journal of Theoretical Physics》1982,21(8-9):607-632
A self-consistent formulation of physics at the classical level embodying Dirac’s large numbers hypothesis (LNH) is developed
based on units covariance. A scalar “field”ϕ (x) is introduced and some fundamental results are derived from the resultant equations. Some unusual properties ofϕ are noted such as the fact thatϕ cannot be the correspondence limit of a normal quantum scalar field.
Presented at the Dirac Symposium, Loyola University, New Orleans, May 1981.
NAS-NRC Senior Research Fellow 1981–1982. 相似文献
18.
V. G. Krechet 《Russian Physics Journal》1986,29(10):790-794
We study the formalism of covariant differentiation of a spinor field in a space of affine connection with an invariant metric. We find the most general formula for the coefficients of spinorial connection consistent with the fundamental relationship between the space and spin ( + = 2g), and which is a generalization of the formula for the Fock-Ivanenko coefficients. The obtained formula contains additional terms describing the interaction between the spinor field and the scalar field, the vector field A, and the pseudovector field
(presumably, the pseudotrace of the spacetime torsion). The existence of these interaction terms also follows from the analysis of spinor fields from the gauge-theoretical point of view. We show that the interaction between the spinor and pseudovector fields found in this paper substantially modifies the electrodynamics of spinor fields. As a result, the combined system of equations describing the dynamics of the vector (electromagnetic) and pseudovector fields is, unlike the Maxwell equations, symmetric with respect to the right-hand sides (sources). The source for the field strength tensor of the field comples A and
is the vector current of the spinor field ¯gy, while the source for the dual field strength tensor is the pseudovector current of the spinor field ¯5. It is suggested that the obtained interaction between the spinor and the scalar and pseudovector fields plays a role on a deeper level of matter structure —in quark and preon (subquark) systems.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 20–25, October, 1986.In conclusion, the author finds it a pleasure to thank the participants of the theoretical seminars led by D. Ivanenko, Yu. S. Vladimirov, and N. V. Mitskevich, for the discussion of the results of this paper and for valuable comments. 相似文献
19.
Antonio F. Rañada 《Letters in Mathematical Physics》1989,18(2):97-106
It is shown that Maxwell equations in vacuum derive from an underlying topological structure given by a scalar field which represents a map S
3×RS
2 and determines the electromagnetic field through a certain transformation, which also linearizes the highly nonlinear field equations to the Maxwell equations. As a consequence, Maxwell equations in vacuum have topological solutions, characterized by a Hopf index equal to the linking number of any pair of magnetic lines. This allows the classification of the electromagnetic fields into homotopy classes, labeled by the value of the helicity. Although the model makes use of only c-number fields, the helicity always verifies A·Bd3
r=n, n being an integer and an action constant, which necessarily appears in the theory, because of reasons of dimensionality. 相似文献
20.
The evolution of a homogeneous multicomponent cosmological model with interacting spinor, vector, and scalar fields in the
presence of dark energy described by the ideal liquid with the corresponding state equation is considered. The source of the
vector and spinor fields is the kinetic energy of the inflation (scalar) field that is modeled by introduction of Lagrangians
for the spinor and vector fields interacting with the scalar field through the squared gradient. A system of the dynamic Einstein–Proca–Klein–Fock
and ideal liquid equations in the presence of interaction of the cosmological model components is solved. The role of individual
components in the process of model evolution is elucidated. 相似文献