Anisotropic Conformal Dark Gravity on the Lorentz Tangent Bundle Spacetime
arXiv:2308.13308 · doi:10.1103/PhysRevD.108.044048
Abstract
In this work we investigate the anisotropic conformal structure of the gravitational field incorporating dark gravity in a generalized Lagrange geometric framework on the Lorentz tangent bundle and we present two applications; the anisotropic conformal Minkowski spacetime and the anisotropic conformal FLRW cosmology. In the first application, the conformal factor induces an anisotropic conformal de-Sitter-like space with extra curvature which causes extra gravity and allows for Sasaki-type Finsler-like structures which could potentially describe certain gravitational phenomena in a more extended form. The cosmological properties of the model are also studied using a FLRW metric structure for the underlying base manifold in the second application, where we derive generalized Friedmann-like equations for the horizontal subspace of the Lorentz tangent bundle spacetime that reduce under certain conditions to those given by A. Triantafyllopoulos and P. C. Stavrinos (2018) [Class. Quantum Grav. 35 085011] as well as those of general relativity.
22 pages, 3 figures
References in corpus (22)
- Dynamics of dark energy
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Modified cosmology from extended entropy with varying exponent
- Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles
- Modified cosmology through spacetime thermodynamics and Barrow horizon entropy
- Observational evidence for cosmological coupling of black holes and its implications for an astrophysical source of dark energy
- Dark matter and dark energy as a effects of Modified Gravity
- Unified Dark Matter Scalar Field Models
- Covariantizing the interaction between dark energy and dark matter
- Brief Review of Recent Advances in Understanding Dark Matter and Dark Energy
- Classical-physics applications for Finsler space
- Soundness of Dark Energy properties
- Stringy Space-Time Foam, Finsler-like Metrics and Dark Matter Relics
- Cosmological evolution and dark energy in osculating Barthel-Randers geometry
- Dynamics in Varying vacuum Finsler-Randers Cosmology
- Bounce cosmology in generalized modified gravities
- Cosmological tests of the osculating Barthel-Kropina dark energy model
- Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
- Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
- Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravity
- Dark energy and dark matter unification from dynamical space time: observational constraints and cosmological implications
- Dark Matter in Fractional Gravity I: Astrophysical Tests on Galactic Scales