Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis

Abstract

We extract exact charged black-hole solutions with flat transverse sections in the framework of D-dimensional Maxwell-f(T) gravity, and we analyze the singularities and horizons based on both torsion and curvature invariants. Interestingly enough, we find that in some particular solution subclasses there appear more singularities in the curvature scalars than in the torsion ones. This difference disappears in the uncharged case, or in the case where f(T) gravity becomes the usual linear-in-T teleparallel gravity, that is General Relativity. Curvature and torsion invariants behave very differently when matter fields are present, and thus f(R) gravity and f(T) gravity exhibit different features and cannot be directly re-casted each other.

arXiv comment24 pages, 3 figures. arXiv admin note: text overlap with arXiv:1110.4024

References in corpus (42)

• The Black Hole in Three Dimensional Space Time
• Extended Theories of Gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Matter Bounce Cosmology with the f(T) Gravity
• Equation of state for dark energy in $f(T)$ gravity
• Accelerating universe from F(T) gravity
• Observational constraints on $f(T)$ theory
• "Teleparallel" Dark Energy
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Torsion Gravity: a Reappraisal
• $f(T)$ models with phantom divide line crossing
• Regular coordinate systems for Schwarzschild and other spherical spacetimes
• Non trivial frames for f(T) theories of gravity and beyond
• The dynamical behavior of $f(T)$ theory
• Degrees of freedom of $f(T)$ gravity
• Growth factor in f(T) gravity
• Existence of relativistic stars in f(T) gravity
• Phase-Space analysis of Teleparallel Dark Energy
• Observational information for f(T) theories and Dark Torsion
• Conformal transformation in $f(T)$ theories
• Thermodynamics of cosmological horizons in $f(T)$ gravity
• Observational Constraints on Teleparallel Dark Energy
• Static Anisotropic Solutions in f(T) Theory
• Violation of the first law of black hole thermodynamics in $f(T)$ gravity
• F(T) Models within Bianchi Type I Universe
• Noether Symmetry in $f(T)$ Theory
• New Coordinates for BTZ Black Hole and Hawking Radiation via Tunnelling
• Dynamics of Teleparallel Dark Energy
• Notes on $f(T)$ Theories
• $f(T)$ Theories and Varying Fine Structure Constant
• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Geometric classification of the torsion tensor in space-time
• Emergent universe in chameleon, f(R) and f(T) gravity theories
• Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity
• Constraining $f(T)$ Theories with the Varying Gravitational Constant
• Azimuthal electric field in a static rotationally symmetric (2+1)-dimensional spacetime
• Cosmological frames for theories with absolute parallelism
• Extended Birkhoff's Theorem in the f(T) Gravity
• A small guide to variations in teleparallel gauge theories of gravity and the Kaniel-Itin model
• Gödel-type universes in f(T) gravity
• Coframe teleparallel models of gravity. Exact solutions

Cited by in corpus (95)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• f(T) teleparallel gravity and cosmology
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Teleparallel Gravity: From Theory to Cosmology
• The covariant formulation of f(T) gravity
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Cosmological Solutions of $f(T)$ Gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Viable f(T) models are practically indistinguishable from LCDM
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Cosmological applications of $F(T,T_G)$ gravity
• Strong gravitational lensing --- A probe for extra dimensions and Kalb-Ramond field
• Constant-roll Inflation in $f(T)$ Teleparallel Gravity
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Solar System tests in $f(T)$ gravity
• Dynamical features of scalar-torsion theories
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• A spherically-symmetric charged-dS solution in f(T) gravity theories
• Rotating AdS black holes in Maxwell-$f(T)$ gravity
• A special exact spherically symmetric solution in f(T) gravity theories
• Constraining f(T) gravity in the Solar System
• A Built-in Inflation in the $f(T)$-Cosmology
• Stability of motion and thermodynamics in charged black holes in $f(T)$ gravity
• Phase Portraits of general f(T) Cosmology
• Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Traversable wormholes in the extended teleparallel theory of gravity with matter coupling
• FRW in quadratic form of $f(T)$ gravitational theories
• Reconstruction, Thermodynamics and Stability of $\Lambda$CDM Model in $f(T,\mathcal{T})$ Gravity
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• The Hidden Flat Like Universe: Starobinsky-like inflation induced by f(T) gravity
• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
• The Spherically Symmetric Vacuum in Covariant $F(T)=T+\frac{\alpha }{2}{T}^2+\mathcal{O}(T^{\gamma })$ Gravity Theory
• Teleparallel Equivalent of Lovelock Gravity
• Study of Anisotropic Compact Stars with Quintessence Field and Modified Chaplygin Gas in f(T) Gravity
• Accelerating Universe in Hybrid and Logarithmic Teleparallel Gravity
• Importance of torsion and invariant volumes in Palatini theories of gravity
• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Cosmological reconstruction of $f(T,\mathcal{T})$ Gravity
• Reconstruction of $f(T)$-gravity in the absence of matter
• Matter Conditions for Regular Black Holes in $\mathbf{f}(\mathbf{T})$ Gravity
• Unified universe history through phantom extended Chaplygin gas
• Analytic rotating black hole solutions in $N$-dimensional $f(T)$ gravity
• Charged Black Holes in Generalized Teleparallel Gravity
• Geodesic Deviation Equation in $f(T)$ gravity
• Horndeski theories confront the Gravity Probe B experiment
• Thick brane in f(T,B) gravity
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity
• Black-Bounce in $f(T)$ Gravity
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Non-minimal Coupling of Torsion-matter Satisfying Null Energy Condition for Wormhole Solutions
• Rotating and non-rotating AdS black holes in $f(\mathcal{T})$ gravity non-linear electrodynamics
• Compact extra dimensions in cosmologies with f(T) structure
• On the Viability of the Intermediate Inflation Scenario with $F(T)$ Gravity
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• Lorentz Invariance Violation Effects on Gamma-Gamma Absorption and Compton Scattering
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• On spherically symmetric vacuum solutions and horizons in covariant $f(T)$ gravity theory
• Unimodular $f(G)$ gravity
• A Complete Cosmological Scenario in Teleparallel Gravity
• Specific neutral and charged black holes in $f(R)$ gravitational theory
• The Hidden Flat Like Universe II: Quasi inverse power law inflation by $f(T)$ gravity
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• New anisotropic star solutions in mimetic gravity
• Charged Anti-de Sitter BTZ black holes in Maxwell-$f(T)$ gravity
• Rotating charged AdS solutions in quadratic $f(T)$ gravity
• Generic Phase Portrait Analysis of the Finite-time Singularities and Generalized Teleparallel Gravity
• Regularization of $f(T)$ gravity theories and local Lorentz transformation
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Constraining Torsion in Maximally symmetric (sub)spaces
• Maxwell-$f(Q)$ theory
• Thick string-like braneworlds in f(T) gravity
• Regular solutions in $f(T)$-Yang-Mills theory
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Brane cosmology in teleparallel and $f(T)$ gravity
• Magnetic black holes in Weitzenböck geometry
• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe
• Probing charge of compact objects with gravitational microlensing of gravitational waves
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Probing black hole `charge' from the binary black hole inspiral
• String-like brane splitting in the context of $f(T,B)$ gravity
• Weyl-Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions
• D=11 cosmologies with teleparallel structure
• Lensing by black holes within astrophysical environments
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Kerr-Schild metrics in teleparallel gravity
• Cylindrically symmetric static $n$-dimensional (un)charged (anti-)de Sitter black holes in generic $f(T)$ gravity