Static Anisotropic Solutions in f(T) Theory

Abstract

In a previously work, we undertook a static and anisotropic content in $f(T)$ theory and obtained new spherically symmetric solutions considering a constant torsion and some particular conditions for the pressure. In this paper, still in the framework of $f(T)$ theory, new spherically symmetric solutions are obtained, first considering the general case of an isotropic fluid and later the anisotropic content case in which the generalized conditions for the matter content are considered such that the energy density, the radial and tangential pressures depend on the algebraic $f(T)$ and its derivative $f_T(T)$. Moreover, we obtain the algebraic function $f(T)$ through the reconstruction method for two cases and also study a polytropic model for the stellar structure.

23 pages, Published in Euro. Phys. J. C

References in corpus (16)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Existence of relativistic stars in f(T) gravity
• Static Solutions with Spherical Symmetry in f(T) Theories
• The Standard Model of Particles and Forces in the Framework of 2T-physics
• Phantom Black Holes and Sigma Models
• Teleparallel Energy-Momentum Distribution of Lewis-Papapetrou Spacetimes
• A new two-sphere singularity in general relativity
• New Black Holes Solutions in a Modified Gravity

Cited by in corpus (86)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• f(T) teleparallel gravity and cosmology
• The covariant formulation of f(T) gravity
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Good and bad tetrads in f(T) gravity
• Solar system constraints on f(T) gravity
• Phase-Space analysis of Teleparallel Dark Energy
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Viable f(T) models are practically indistinguishable from LCDM
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
• Anisotropic Universe Models in f(T) Gravity
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Cosmological applications of $F(T,T_G)$ gravity
• Energy conditions bounds on f(T) gravity
• Strong gravitational lensing --- A probe for extra dimensions and Kalb-Ramond field
• Constraining f(T) teleparallel gravity by Big Bang Nucleosynthesis
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Dynamical features of scalar-torsion theories
• Primordial Fluctuations within Teleparallelism
• $f(T)$ gravitational baryogenesis
• Dynamical Stability Analysis of Accelerating f(T) Gravity Models
• Isotropization of locally rotationally symmetric Bianchi-I universe in $f(Q)$-gravity
• Observational Constraints on $f(T)$ gravity from varying fundamental constants
• Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity
• Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
• Cosmology of Holographic and New Agegraphic $f(R,T)$ Models
• Resolution of dark matter problem in f(T) gravity
• A Built-in Inflation in the $f(T)$-Cosmology
• Updated constraints on $f(T)$ models using direct and indirect measurements of the Hubble parameter
• Interacting Dark Energy in f(T) cosmology : A Dynamical System analysis
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Cylindrical Solutions in Modified f(T) Gravity
• Locally Rotationally Symmetric Bianchi Type-I cosmological model in $f(T)$ gravity: from early to Dark Energy dominated universe
• FRW in quadratic form of $f(T)$ gravitational theories
• Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques
• Generalized Noether symmetry in f(T) gravity
• Holographic f(T)-gravity model with power-law entropy correction
• Junction conditions in extended Teleparallel gravities
• Compact stars in $f(T)$ extended theory of gravity
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
• Constraining $f(T,\mathcal{T})$ gravity models using type Ia supernovae
• Teleparallel Equivalent of Lovelock Gravity
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Extended Birkhoff's Theorem in the f(T) Gravity
• Vacuum spherically symmetric solutions in $f(T)$ gravity
• Matter Density Perturbations in Modified Teleparallel Theories
• Geodesic Deviation Equation in $f(T)$ gravity
• Charged Black Holes in Generalized Teleparallel Gravity
• First Order Formalism for Thick Branes in Modified Teleparallel Gravity
• Generalized Teleparallel Gravity Via Some Scalar Field Dark Energy Models
• QCD ghost f(T)-gravity model
• Constraining Anisotropic Cosmological Model in $f(\mathcal{R},{\mathcal{L}}_m)$ Gravity
• Modified teleparallel gravity with higher-derivative torsion terms
• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
• Spontaneous Lorentz symmetry-breaking constraints in Kalb-Ramond gravity
• Non-minimal Coupling of Torsion-matter Satisfying Null Energy Condition for Wormhole Solutions
• QCD ghost reconstruction of f(T) gravity in flat FRW universe
• Inhomogeneous Universe in f(T) Theory
• Noether gauge symmetry for the Bianchi type I model in f(T) gravity
• Gödel-type universes in f(T) gravity
• PeV IceCube signals and Dark Matter relic abundance in modified cosmologies
• Boson stars in $f(T)$ extended theory of gravity
• Kinetic Scalar Curvature Extended $f(R)$ Gravity
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Tolman-Oppenheimer-Volkoff Equations and their implications or the structures of relativistic Stars in f(T) gravity
• Cosmic evolution in f(T) gravity theory
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions
• Geodesic Deviation Equation in $\Lambda$CDM $f(T,\mathcal{T})$ gravity
• Evaporation phenomena in f(T) gravity
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• Birkhoff's Theorem in f(T) Gravity up to the Perturbative Order
• Hyperscaling violating black holes in scalar-torsion theories
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Energy Constraints and $F(T,T_G)$ Cosmology
• Dynamical Instability of Cylindrically Symmetric Collapsing Star in Generalized Teleparallel Gravity
• Generalized Teleparallel Theory
• Particle creation in flat FRW Universe in the framework of $f(T)$ gravity
• Dynamics of Potentials in Bianchi Type Scalar-Tensor Cosmology
• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe
• Quantum Entropy-Driven Modifications to Holographic Dark Energy in $f(G,T)$ Gravity