New Static Solutions in f(T) Theory

Abstract

We consider the equations of motion of an anisotropic space-time in $f(T)$ theory, where $T$ is the torsion. New spherically symmetric solutions of black holes and wormholes are obtained with a constant torsion and the cases for which the radial pressure is proportional to a real constant, to some algebraic functions $f(T)$ and their derivatives $f_T(T)$, or vanish identically.

15 pages, accepted for publication in European Physical Journal C

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• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• $f(T,\mathcal{T})$ gravity and cosmology
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Good and bad tetrads in f(T) gravity
• Solar system constraints on f(T) gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
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• Viable f(T) models are practically indistinguishable from LCDM
• Compact stars in $f(R,T)$ gravity
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• Anisotropic Universe Models in f(T) Gravity
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
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• Noether Symmetry in $f(T)$ Theory
• Energy conditions bounds on f(T) gravity
• Dynamics of Teleparallel Dark Energy
• On Wormhole Throats in $f(R)$ Gravity Theory
• 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
• Strange Stars in $f(T)$ Gravity With MIT Bag Model
• Shadow and quasinormal modes of the Kerr-Newman-Kiselev-Letelier black hole
• Anisotropic Compact Stars in $f(T)$ Gravity
• Relativistic compact stars in $f(T)$ gravity admitting conformal motion
• Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity
• Astrophysical flows near $f(T)$ gravity black holes
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Cylindrical Solutions in Modified f(T) Gravity
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Locally Rotationally Symmetric Bianchi Type-I cosmological model in $f(T)$ gravity: from early to Dark Energy dominated universe
• Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques
• Study of gravastars under $f(\mathbb{T})$ gravity
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• Generalized teleparallel cosmology and initial singularity crossing
• Constraining $f(T,\mathcal{T})$ gravity models using type Ia supernovae
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
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• Study of Anisotropic Compact Stars with Quintessence Field and Modified Chaplygin Gas in f(T) Gravity
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• Reconstruction of f(T) gravity according to holographic dark energy
• Charged Black Holes in Generalized Teleparallel Gravity
• Geodesic Deviation Equation in $f(T)$ gravity
• Big Bang Nucleosynthesis constraints on $f(T,\mathcal{T})$ gravity
• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
• A Perturbative Approach to Neutron Stars in $f(T,\mathcal{T})-$Gravity
• $H_0$ Tension in Torsion-based Modified Gravity
• Non-minimal Coupling of Torsion-matter Satisfying Null Energy Condition for Wormhole Solutions
• $f(T,\mathcal{T})$ Cosmological Models in Phase Space
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• Inhomogeneous Universe in f(T) Theory
• Anisotropic Quintessence Strange Stars in f(T) Gravity with Modified Chaplygin Gas
• Compact star in $f(T)$ gravity with Tolman-Kuchowicz metric potential
• Gödel-type universes in f(T) gravity
• Modelling of a compact anisotropic star as an anisotropic fluid sphere in $f(T)$ gravity
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• Inflation with F(T) Teleparallel Gravity
• Evaporation phenomena in f(T) gravity
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• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• Birkhoff's Theorem in f(T) Gravity up to the Perturbative Order
• Renormalizability of alternative theories of gravity: differences between power counting and entropy argument
• Charged gravastar model in $f(T)$ gravity admitting conformal motion
• A viable form of the metric Teleparallel F(T) theory of gravity
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Dynamical Instability of Cylindrically Symmetric Collapsing Star in Generalized Teleparallel Gravity
• Local Lorentz transformation and exact spherically symmetric vacuum solutions in f(T) gravity theories
• Particle creation in flat FRW Universe in the framework of $f(T)$ gravity
• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe
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