Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions

Abstract

This paper investigates the Teleparallel Robertson-Walker (TRW) $F(T)$ gravity solutions for a Chaplygin gas, and then for any polytropic gas cosmological source. We use the TRW $F(T)$ gravity field equations (FEs) for each $k$-parameter value case and the relevant gas equation of state (EoS) to find the new teleparallel $F(T)$ solutions. For flat $k=0$ cosmological case, we find analytical solutions valid for any cosmological scale factor. For curved $k=\pm 1$ cosmological cases, we find new approximated teleparallel $F(T)$ solutions for slow, linear, fast and very fast universe expansion cases summarizing by a double power-law function. All the new solutions will be relevant for future cosmological applications on dark matter, dark energy (DE) quintessence, phantom energy, Anti-deSitter (AdS) spacetimes and several other cosmological processes.

19 pages, 1 figure and 1 table. Published in Mathematics journal

References in corpus (57)

• f(R,T) gravity
• Cosmology and the Fate of Dilatation Symmetry
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Cosmological Evolution of a Quintom Model of Dark Energy
• Teleparallel Gravity: From Theory to Cosmology
• On Born-Infeld Gravity in Weitzenbock spacetime
• Turnaround in Cyclic Cosmology
• Assessing observational constraints on dark energy
• Scant evidence for thawing quintessence
• Underdetermination of dark energy
• Matching current observational constraints with nonminimally coupled dark energy
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• Cosmological bouncing scenarios in symmetric teleparallel gravity
• Homogeneous and isotropic cosmology in general teleparallel gravity
• Static spherically symmetric black holes in weak f(T)-gravity
• Matter Conditions for Regular Black Holes in $\mathbf{f}(\mathbf{T})$ Gravity
• Rip cosmological models in extended symmetric teleparallel gravity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Holographic thermalization and gravitational collapse in the spacetime dominated by quintessence dark energy
• Approaches to spherically symmetric solutions in f(T) gravity
• $f(T)$ gravity after DESI Baryon Acoustic Oscillation and DES Supernovae 2024 data
• Scalarized Black Holes in Teleparallel Gravity
• Reconstructing interacting new agegraphic polytropic gas model in non-flat FRW universe
• Symmetric Teleparallel Geometries
• A frame based approach to computing symmetries with non-trivial isotropy groups
• Exact Cosmology in Myrzakulov Gravity
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• The Stability of Anisotropic Compact Stars Influenced by Dark Matter under Teleparallel Gravity: An Extended Gravitational Deformation Approach
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• Spherically symmetric teleparallel geometries
• Generalized Teleparallel de Sitter geometries
• On spherically symmetric vacuum solutions and horizons in covariant $f(T)$ gravity theory
• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• Geometrical Trinity of Unimodular Gravity
• Parametrized post-Newtonian limit of generalized scalar-nonmetricity theories of gravity
• Teleparallel Robertson-Walker geometries and applications
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Static spherically symmetric perfect fluid solutions in teleparallel F(T) gravity
• $f(T)$ Cosmology with Nonzero Curvature
• Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity
• Revisiting Stability in New General Relativity
• Charged gravastar model in noncommutative geometry under $f(\mathbb{T})$ gravity
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Cosmological solutions in teleparallel $F(T,B)$ gravity
• Cosmological fluids with boundary term couplings
• Emulating dark energy models with known equation of state via the created cold dark matter scenario
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Scalar Field Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
• Scalar field source Teleparallel Robertson-Walker F(T)-gravity solutions
• Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames
• Accretion of matter by a Charged dilaton black hole
• Dynamical system analysis of quintessence dark energy model