Raychaudhuri equation in the Finsler–Randers space-time and generalized scalar-tensor theories

DOI10.1142/S0219887818500391zbMath1386.83119arXiv1612.04554MaRDI QIDQ4609864

Maria Alexiou, Panayiotis C. Stavrinos

Publication date: 26 March 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04554

zbMATH Keywords

Klein-Gordon equationscalar-tensor theoriesFinsler geometryRaychaudhuri equation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Astrophysical cosmology (85A40)

Related Items (3)

Towards a geometrical interpretation of rainbow geometries ⋮ Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle ⋮ Geometrizing the Klein–Gordon and Dirac equations in doubly special relativity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gravitational and cosmological considerations based on the Finsler and Lagrange metric structures
• Weak gravitational field in Finsler-Randers space and Raychaudhuri equation
• Friedman-like Robertson-Walker model in generalized metric space-time with weak anisotropy
• Finslerian deviations of geodesics over tangent bundle
• On Finsler spaces with Randers' metric and special forms of important tensors
• On Randers spaces of scalar curvature
• Some connections and variational principle to the Finslerian scalar-tensor theory of gravitation
• Cosmology from quantum potential
• Strong energy condition and the repulsive character of \(f(R)\) gravity
• Energy conditions in modified gravity
• Finslerian structure of anisotropic gravitational field
• Cosmology in scalar-tensor gravity.
• The Raychaudhuri equation for spinning test particles
• Tidal forces in vertical spaces of Finslerian space-time
• Congruences of fluids in a Finslerian anisotropic space-time
• Relativistic Finsler geometry
• Bounce conditions in Kantowski–Sachs and Bianchi cosmologies in modified gravity theories
• Relativistic Cosmology. I
• Raychaudhuri equation and singularity theorems in Finsler spacetimes
• Note on Finslerian relativity
• Cyclic and ekpyrotic universes in modified Finsler osculating gravity on tangent Lorentz bundles
• The Large Scale Structure of Space-Time

This page was built for publication: Raychaudhuri equation in the Finsler–Randers space-time and generalized scalar-tensor theories