排序方式: 共有48条查询结果,搜索用时 15 毫秒
1.
Paul S. Wesson 《General Relativity and Gravitation》2003,35(1):111-119
Results from 5D induced-matter and membrane theory with null paths are extended to show that a particle obeys the 4D Klein-Gordon equation but with a variable mass. The Dirac equation also follows, but raises concerns about 4D quantization in the two natural 5D gauges, and reopens the question of a Regge-like trajectory for the spin angular momenta and squared masses of gravitationally-dominated systems. 相似文献
2.
M. N. Smolyakov 《General Relativity and Gravitation》2007,39(1):41-53
A model with one compact extra dimension and a scalar field of Brans–Dicke type in the bulk is discussed. It describes two branes with non-zero tension embedded into the space-time with flat background. This setup allows one to use a very simple method for stabilization of the size of extra dimension. It appears that the four-dimensional Planck mass is expressed only through parameters of the scalar field potentials on the branes. 相似文献
3.
A Kerr metric describing a rotating black hole is obtained on the three brane in a five-dimensional Randall-Sundrum brane
world by considering a rotating five-dimensional black string in the bulk. We examine the causal structure of this space-time
through the geodesic equations. 相似文献
4.
We show that the shell-universe model (used to explain the observed expansion rate of the universe without a dark energy component) provides a natural mechanism for local increasing of the brane tension leading to the modified Newtons law alternative to galactic dark matter. 相似文献
5.
We consider the embedding of 3+1 dimensional cosmology in 4+1 dimensional Jordan-Brans-Dicke theory. We show that exponentially
growing and power law scale factors are implied. Whereas the 4+1 dimensional scalar field is approximately constant for each,
the effective 3+1 dimensional scalar field is constant for exponentially growing scale factor and time dependent for power
law scale factor. 相似文献
6.
Hugo A. Morales-Técotl Omar Pedraza Luis O. Pimentel 《General Relativity and Gravitation》2007,39(8):1185-1202
Testing extra dimensions at low-energies may lead to interesting effects. In this work a test point charge is taken to move
uniformly in the 3D subspace of a (3 + n)-brane embedded in a (3 + n + 1)-space with n compact and one warped infinite spatial extra dimensions. We found that the electromagnetic potentials of the point charge
match standard Liennard–Wiechert’s at large distances but differ from them close to it. These are finite at the position of
the charge and produce finite self-energies. We also studied a localized Hydrogen atom and take the deviation from the standard
Coulomb potential as a perturbation. This produces a Lamb shift that is compared with known experimental data to set bounds
for the parameter of the model. This work provides details and extends results reported in a previous Letter.
We are pleased to dedicate this work to Professor Octavio Obregón on occasion of his 60th birthday. H. A. Morales-Técotl is
an associate member of the Abdus Salam ICTP, Trieste Italy. 相似文献
7.
We investigate the role of Casimir energy as a mechanism for brane stability in five-dimensional models with the fifth dimension compactified on an S1/Z2 orbifold, which includes the Randall–Sundrum two brane model (RS1). We employ a ζ-function regularization technique utilizing the Schwinger proper time method and the Jacobi theta function identity to calculate the one-loop effective potential. We show that the combination of the Casimir energies of a scalar Higgs field, the three generations of Standard Model fermions and one additional massive non-SM scalar in the bulk produces a non-trivial minimum of the potential. In particular, we consider a scalar field with a coupling in the bulk to a Lorentz violating vector particle localized to the compactified dimension. Such a scalar may provide a natural means of fine tuning needed for stabilization of the brane separation. Finally, we briefly review the possibility that Casimir energy plays a role in generating the currently observed epoch of cosmological inflation by examining a simple five-dimensional anisotropic metric. 相似文献
8.
Alain Bachelot 《Journal de Mathématiques Pures et Appliquées》2011,96(6):527-554
This paper deals with the Klein–Gordon equation on the Poincaré chart of the 5-dimensional Anti-de Sitter universe. When the mass μ is larger than , the Cauchy problem is well-posed despite the loss of global hyperbolicity due to the time-like horizon. We express the finite energy solutions in the form of a continuous Kaluza–Klein tower and we deduce a uniform decay as . We investigate the case , ν∈N?, which encompasses the gravitational fluctuations, ν=4, and the electromagnetic waves, ν=2. The propagation of the wave front set shows that the horizon acts like a perfect mirror. We establish that the smooth solutions decay as , and we get global Lp estimates of Strichartz type. When ν is even, there appears a lacuna and the equipartition of the energy occurs at finite time for the compactly supported initial data, although the Huygens principle fails. We address the cosmological model of the negative-tension Minkowski brane, on which a Robin boundary condition is imposed. We prove the hyperbolic mixed problem is well-posed and the normalizable solutions can be expanded into a discrete Kaluza–Klein tower. We establish some L2−L∞ estimates in suitable weighted Sobolev spaces. 相似文献
9.
K. A. Bronnikov S. A. Kononogov V. N. Melnikov 《General Relativity and Gravitation》2006,38(7):1215-1232
We discuss possible variations of the effective gravitational constant with length scale, predicted by most of alternative theories of gravity and unified models of physical interactions. After giving a brief general exposition, we review in more detail the predicted corrections to Newton’s law of gravity in diverse brane world models. We consider various configurations in 5 dimensions (flat, de Sitter and AdS branes in Einstein and Einstein–Gauss–Bonnet theories, with and without induced gravity and possible incomplete graviton localization), 5D multi-brane systems and some models in higher dimensions. A common feature of all models considered is the existence of corrections to Newton’s law at small radii comparable with the bulk characteristic length: at such radii, gravity on the brane becomes effectively multidimensional. Many models contain superlight perturbation modes, which modify gravity at large scale and may be important for astrophysics and cosmology. 相似文献
10.
J. Ponce de Leon 《General Relativity and Gravitation》2006,38(1):61-81
Braneworld theory provides a natural setting to treat, at a classical level, the cosmological effects of vacuum energy. Non-static
extra dimensions can generally lead to a variable vacuum energy, which in turn may explain the present accelerated cosmic
expansion. We concentrate our attention in models where the vacuum energy decreases as an inverse power law of the scale factor.
These models agree with the observed accelerating universe, while fitting simultaneously the observational data for the density
and deceleration parameter. The redshift at which the vacuum energy can start to dominate depends on the mass density of ordinary
matter. For
m
= 0.3, the transition from decelerated to accelerated cosmic expansion occurs at z
T
≈ 0.48 ± 0.20, which is compatible with SNe data. We set a lower bound on the deceleration parameter today, namely > − 1 + 3
m
/2, i.e., > − 0.55 for
m
= 0.3. The future evolution of the universe crucially depends on the time when vacuum starts to dominate over ordinary matter.
If it dominates only recently, at an epoch z < 0.64, then the universe is accelerating today and will continue that way forever. If vacuum dominates earlier, at z > 0.64, then the deceleration comes back and the universe recollapses at some point in the distant future. In the first case,
quintessence and Cardassian expansion can be formally interpreted as the low energy limit of our model, although they are
entirely different in philosophy. In the second case there is no correspondence between these models and ours. 相似文献