共查询到20条相似文献,搜索用时 31 毫秒
1.
Richard Schlegel 《Foundations of Physics》1982,12(8):781-795
Consequences in physical theory of assuming the general relativistic time transformation for the de Broglie frequencies of matter, v = E/h = mc2/h, are investigated in this paper. Experimentally it is known that electromagnetic waves from a source in a gravitational field are decreased in frequency, in accordance with the Einstein general relativity time transformation. An extension to de Broglie frequencies implies mass decrease in a gravitational field. Such a decrease gives an otherwise missing energy conservation for some processes; also, a physical alteration is then associated with change in gravitational potential. Further, the general relativity time transformation that is the source of gravitational action in the weak field (Newtonian) approximation then has a physical correlate in the proposed gravitational mass loss. Rotational motion and the associated equivalent gravitational-field mass loss are considered; an essential formal difference between metric (gravitational) mass loss and special relativity mass increase is discussed. For a spherical, nonrotating mass collapsed to its Schwarzschild radius the postulated mass loss is found to give a 25% decrease in the mass acting as origin of an external gravitational field. 相似文献
2.
The problems of the tolal energy and quasilocalenergy density or an isolated spherically symmetric static system in general relativity (GR) are considered with examples of some exact suintions. The field formulation of GR dereloped earlier hy L. P. Grishchuk. el al. (1984). in ihe framework of which all the dynamical fields, including the gravitation field, are considered in a fixed background spacetime is used intensively. The exact Schwarzschild and Reissner Nordstrom solutions are investigated in detail, and the results are compared with those in the recent work by J. D. Brown and J. W. York. Jr. (1993) as well as discussed with respect to the principle of nonlocalization of the gravitational energy in GR. Those examples are illustrative and simple because the background is selected as Minkowski spacetime and, in fact, the field configurations are studied in the framework of special relativity. It is shown that some problems of the Schwarzschild solution which are difficult to resolve in the standard geometrical framework of GR are resolved in the framework of the field formulation. 相似文献
4.
J. W. Maluf 《General Relativity and Gravitation》1998,30(3):413-423
It has been shown recently that within the framework of the teleparallel equivalent of general relativity (TEGR) it is possible to define the energy density of the gravitational field in a unique way. The tegr amounts to an alternative formulation of Einstein's general relativity, not to an alternative gravity theory. The localizability of the gravitational energy has been investigated in a number of spacetimes with distinct topologies, and the outcome of these analyses agree with previously known results regarding the exact expression of the gravitational energy, and/or with the specific properties of the spacetime manifold. In this article we establish a relationship between the expression of the gravitational energy density of the TEGR and the Sparling two-forms, which are known to be closely connected with the gravitational energy. We will also show that our expression of energy yields the correct value of gravitational mass contained in the conformal factor of the metric field. 相似文献
5.
Anatoli Andrei Vankov 《Foundations of Physics》2008,38(6):523-545
In relativistic theories, the assumption of proper mass constancy generally holds. We study gravitational relativistic mechanics
of point particle in the novel approach of proper mass varying under Minkowski force action. The motivation and objective
of this work are twofold: first, to show how the gravitational force can be included in the Special Relativity Mechanics framework,
and, second, to investigate possible consequences of the revision of conventional proper mass concept (in particular, to clarify
a proper mass role in the divergence problem). It is shown that photon motion in the gravitational field can be treated in
terms of massless refracting medium, what makes the gravity phenomenon compatible with SR Mechanics framework in the variable
proper mass approach.
Specifically, the problem of point particle in the spherical symmetric stationary gravitational field is studied in SR-based
Mechanics, and equations of motion in the Lorentz covariant form are obtained in the relativistic Lagrangean problem formulation.
The dependence of proper mass on potential field strength is derived from the Euler-Lagrange equations as well. One of new
results is the elimination of conventional 1/r divergence, which is known to be not removable in Schwarzschild gravitomechanics. Predictions of particle and photon gravitational
properties are in agreement with GR classical tests under weak-field conditions; however, deviations rise with potential field
strength. The conclusion is made that the approach of field-dependent proper mass is perspective for development of SR gravitational
mechanics and further studies of gravitational problems. 相似文献
6.
Earlier geometrical theories of gravitation with short-range forces are analyzed, in view of a more general approach, to compare some of the properties of such theories with general relativity (GR). It is found that neither the scalar-tensor nor the fourth-order theories of gravity share with GR the interesting property that the binding energy of a gravitating system may be attributed to the loss of energy in packing the matter under its own gravitational field. This general approach, in the form of a GR field equation with an effective energy-momentum tensor is used to construct a constant-density, spherically-symmetric star model, via a heuristic argument, as a perturbation of the corresponding model in GR to study the modifications to the limiting gravitational mass. The application of the present study to other problems of physical interest is briefly mentioned. 相似文献
7.
Andrei G. Lebed 《Central European Journal of Physics》2013,11(8):969-976
We define passive gravitational mass operator of a hydrogen atom in the post-Newtonian approximation of general relativity and show that it does not commute with energy operator, taken in the absence of gravitational field. Nevertheless, the equivalence between the expectation values of passive gravitational mass and energy is shown to survive for stationary quantum states. Inequivalence between passive gravitational mass and energy at a macroscopic level results in time dependent oscillations of the expectation values of passive gravitational mass for superpositions of stationary quantum states, where the equivalence restores after averaging over time. Inequivalence between gravitational mass and energy at a microscopic level reveals itself as unusual electromagnetic radiation, emitted by the atoms, supported and moved in the Earth gravitational field with constant velocity using spacecraft or satellite, which can be experimentally measured. 相似文献
8.
C. Lanczos 《Foundations of Physics》1975,5(1):9-18
The field equations of the quadratic action principle of relativity are solved, assuming a weak perturbation of the basic structure, which is a highly agitated Riemannian lattice field of a very small lattice constant. A field emerges which can be interpreted as the weak gravitational field of an apparently Minkowskian space. This field does not coincide with Einstein's theory of weak gravitational fields. Whereas the redshift remains unchanged, the light deflection becomes reduced by11.1% of the value predicted by Einstein. 相似文献
9.
10.
We formulate a holomorphic theory of gravity and study how the holomorphy symmetry alters the two most important singular
solutions of general relativity: black holes and cosmology. We show that typical observers (freely) falling into a holomorphic
black hole do not encounter a curvature singularity. Likewise, typical observers do not experience Big Bang singularity. Unlike
Hermitian gravity (Mantz and Prokopec in , 2008), holomorphic gravity does not respect the reciprocity symmetry and thus it is mainly a toy model for a gravity theory formulated
on complex space-times. Yet it is a model that deserves a closer investigation since in many aspects it resembles Hermitian
gravity and yet calculations are simpler. Our study of light bending and gravitational waves in weak holomorphic gravitational
fields strongly suggests that holomorphic gravity reduces to general relativity at large distance scales. 相似文献
11.
Nathan Rosen 《Foundations of Physics》1985,15(10):997-1008
In the general relativity theory gravitational energy-momentum density is usually described by a pseudo-tensor with strange transformation properties so that one does not have localization of gravitational energy. It is proposed to set up a gravitational energy-momentum density tensor having a unique form in a given coordinate system by making use of a bimetric formalism. Two versions are considered: (1) a bimetric theory with a flat-space background metric which retains the physics of the general relativity theory and (2) one with a background corresponding to a space of constant curvature which introduces modifications into general relativity under certain conditions. The gravitational energy density in the case of the Schwarzschild solution is obtained. 相似文献
12.
Tolga Yarman 《Foundations of Physics Letters》2006,19(7):675-693
Herein we present a whole new approach that leads to the end results of the general theory of relativity via just the law
of conservation of energy (broadened to embody the mass and energy equivalence of the special theory of relativity) and quantum
mechanics. We start with the following postulate.
Postulate: The rest mass of an object bound to a celestial body amounts less than its rest mass measured in empty space, and this, as
much as its binding energy vis-á-vis the gravitational field of concern. 相似文献
13.
J. B. Fonseca-Neto C. Romero S. P. G. Martinez 《General Relativity and Gravitation》2013,45(8):1579-1601
We reformulate the general theory of relativity in the language of Riemann–Cartan geometry. We start from the assumption that the space-time can be described as a non-Riemannian manifold, which, in addition to the metric field, is endowed with torsion. In this new framework, the gravitational field is represented not only by the metric, but also by the torsion, which is completely determined by a geometric scalar field. We show that in this formulation general relativity has a new kind of invariance, whose invariance group consists of a set of conformal and gauge transformations, called Cartan transformations. These involve both the metric tensor and the torsion vector field, and are similar to the well known Weyl gauge transformations. By making use of the concept of Cartan gauges, we show that, under Cartan transformations, the new formalism leads to different pictures of the same gravitational phenomena. We illustrate this fact by looking at the one of the classical tests of general relativity theory, namely the gravitational spectral shift. Finally, we extend the concept of space-time symmetry to Riemann–Cartan space-times with scalar torsion and obtain the conservation laws for auto-parallel motions in a static spherically symmetric vacuum space-time in a Cartan gauge, whose orbits are identical to Schwarzschild orbits in general relativity. 相似文献
15.
16.
We investigate cylindrically symmetric vacuum solutions with both null and non-null electromagnetic fields in the framework
of the Brans–Dicke theory and compare these solutions with some of the well-known solutions of general relativity for special
values of the parameters of the resulting field functions. We see that, unlike general relativity where the gravitational
force of an infinite and charged line mass acting on a test particle is always repulsive, it can be attractive or repulsive
for Brans–Dicke theory depending on the values of the parameters as well as the radial distance from the symmetry axis. 相似文献
17.
Saskia Kind 《International Journal of Theoretical Physics》2008,47(12):3341-3390
Spinor relativity is a unified field theory, which derives gravitational and electromagnetic fields as well as a spinor field
from the geometry of an eight-dimensional complex and ‘chiral’ manifold. The structure of the theory is analogous to that
of general relativity: it is based on a metric with invariance group GL(ℂ2), which combines the Lorentz group with electromagnetic U(1), and the dynamics is determined by an action, which is an integral of a curvature scalar and does not contain coupling
constants. The theory is related to physics on spacetime by the assumption of a symmetry-breaking ground state such that a
four-dimensional submanifold with classical properties arises. In the vicinity of the ground state, the scale of which is
of Planck order, the equation system of spinor relativity reduces to the usual Einstein and Maxwell equations describing gravitational
and electromagnetic fields coupled to a Dirac spinor field, which satisfies a non-linear equation; an additional equation
relates the electromagnetic field to the polarization of the ground state condensate. 相似文献
18.
We derive a simple formula which gives the general relativistic deflection of a spacecraft, idealized as a point mass, for all values of the asymptotic speed V(infinity) (0< or =V(infinity)< or =1). Using this formula we suggest a new test of general relativity (GR) which can be carried out during a proposed interstellar mission that involves a close pass of the Sun. We show that, with foreseeable improvements in spacecraft tracking sensitivity, the deflection of a spacecraft's trajectory in the gravitational field of the Sun could provide a new test of GR. 相似文献
19.
Nathan Rosen 《General Relativity and Gravitation》1971,2(2):129-148
Homogeneous isotropic models of the universe, based on the general theory of relativity, lead to the existence of a preferred
frame of reference, which is similar to the absolute space of, Newton, and a preferred time coordinate, which resembles the
absolute time of Newton. These concepts seem to be in contradiction to the principle of covariance on which the general relativity
theory is based. A theory of gravitation is therefore proposed which uses the world picture of general relativity but is not
covariant. In the three crucial tests, the proposed theory gives the same results as the general relativity theory. However,
in contrast to general relativity, the present theory predicts the emission of gravitational waves by spherically symmetric
systems, and gravitational waves are found, in general, to have both transverse and longitudinal components. 相似文献
20.
V. S. Imshennik 《Physics of Atomic Nuclei》2010,73(4):625-633
The standard problem of a radial motion of test particles in the stationary gravitational field of a spherically symmetric
celestial body is solved and is used to determine the time features of this motion. The problem is solved for the equations
of motion of general relativity (GR), and the time features are obtained in the post-Newtonian approximation, with linear
GR corrections proportional to r
g
/r and β
2 (in the solution being considered, they are of the same order of smallness) being taken rigorously into account. Total times
obtained by integrating the time differentials along the trajectories of motion are considered as the time features in question.
It is shown that, for any parameters of the motion, the proper time (which corresponds to watches comoving with a test particle)
exceeds the time of watches at rest (watches at the surface of the celestial body being considered). The mass and the radius
of the celestial body, as well as the initial velocity of the test particle, serve as arbitrary parameters of the motion.
The time difference indicated above implies a leading role of the gravitational redshift, which decreases somewhat because
of the opposite effect of the Doppler shift. The results are estimated quantitatively for the important (from the experimental
point of view) case of vertical flights of rockets starting from the Earth’s surface. In this case, the GR corrections, albeit
being extremely small (a few microseconds for several hours of the flight), aremeasurable with atomic (quantum) watches. 相似文献