Exact models of pure radiation in R2 gravity for spatially homogeneous wave-like Shapovalov spacetimes type II

DOI10.1063/5.0054684zbMath1500.83003arXiv2012.08470OpenAlexW3196333378MaRDI QIDQ5154271

A. E. Filippov, Evgeny Osetrin, K. E. Osetrin

Publication date: 4 October 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08470

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Relativistic cosmology (83F05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Analogues of general relativity in lower dimensions (83C80) Hamilton-Jacobi equations in mechanics (70H20) Geodesic flows in symplectic geometry and contact geometry (53D25) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (1)

Algebras of integrals of motion for the Hamilton–Jacobi and Klein–Gordon–Fock equations in spacetime with four-parameter groups of motions in the presence of an external electromagnetic field

Cites Work

• On stable exponential solutions in Einstein-Gauss-Bonnet cosmology with zero variation of \(G\)
• The Vaidya problem in conformally flat Stäckel spaces of type \((1.1)\)
• Classification of null-Stäckel electrovac metrics with cosmological constant
• Stäckel spaces
• Metrics of homogeneous spaces admitting \((3,1)\)-type complete sets
• Spatially homogeneous conformally Stäckel spaces of type (3.1)
• Spatially homogeneous models Stäckel spaces of type (2.1)
• Models of generalized scalar-tensor gravitation theories with radiation allowing the separation of variables in the eikonal equation
• Modified gravity theories on a nutshell: inflation, bounce and late-time evolution
• The spacetime models with dust matter that admit separation of variables in Hamilton–Jacobi equations of a test particle
• Classes of Exact Solutions of the Einstein‐Maxwell Equations
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• New method of integration for the Dirac equation on a curved space-time
• Pure radiation in space-time models that admit integration of the eikonal equation by the separation of variables method
• Hamilton–Jacobi formalism for geodesics and geodesic deviations
• Wave-like spatially homogeneous models of Stäckel spacetimes (2.1) type in the scalar-tensor theory of gravity
• Homogeneous spacetimes and separation of variables in the Hamilton–Jacobi equation
• Separation of variables in Hamilton–Jacobi equation for a charged test particle in the Stackel spaces of type (2.1)

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