Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Filippov, Altair"'
Publikováno v:
Symmetry, 2024, 16, 1456
An exact non-perturbative model of a gravitational wave with pure radiation is constructed. It is shown that the presence of dust matter in this model contradicts Einstein's field equations. Exact solution of Einstein equations for gravitational wave
Externí odkaz:
http://arxiv.org/abs/2411.02463
Publikováno v:
Universe, 2022, Volume 8, Issue 12, 664
For the quadratic theory of gravity with a scalar field, exact solutions are found for gravitational-wave models in Shapovalov~I~type spacetimes, which do not arise in models of the general theory of relativity. The theory of gravity under considerat
Externí odkaz:
http://arxiv.org/abs/2211.11019
Publikováno v:
Symmetry, 2022, 14(12), 2636
Exact solutions for Shapovalov wave spacetimes of type I in the scalar-tensor theory of gravity of Brans-Dicke are constructed. Shapovalov's wave spacetimes describe gravitational-wave models that allow the separation of wave variables in privileged
Externí odkaz:
http://arxiv.org/abs/2210.17379
Publikováno v:
Journal of Mathematical Physics, 2021, 62(9),092501
Presented are exactly integrable models with pure radiation in R^2 gravity with a cosmological constant, related to wave-like Shapovalov spacetimes type II. Spatially homogeneous models of Shapovalov spaces were considered. The obtained solutions bel
Externí odkaz:
http://arxiv.org/abs/2012.08470
Publikováno v:
International Journal of Geometric Methods in Modern Physics, 2020
All classes of spatially homogeneous space-time models in the generalized scalar-tensor theory of gravity are found that allow the integration of the equations of motion of test particles and the eikonal equation by the method of %complete separation
Externí odkaz:
http://arxiv.org/abs/2005.02616
All classes of spatially homogeneous space-time models are found that allow the integration of the equations of motion of test particles and the eikonal equation by the method of complete separation of variables according to type (2.1). Four classes
Externí odkaz:
http://arxiv.org/abs/2003.11020
In this work, we obtain all spatially homogeneous space-time models related to the intersection of the set of St\"ackel spaces of type (2.1) and the set of conformally St\"ackel spaces of type (3.1). These models allow a complete separation of variab
Externí odkaz:
http://arxiv.org/abs/2003.10141
The characteristics of dust matter in space-time models, admitting the existence of privilege coordinate systems are given, where the single-particle Hamilton-Jacobi equation can be integrated by the method of complete separation of variables. The re
Externí odkaz:
http://arxiv.org/abs/1510.03147
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