Kerr geometry in f(T) gravity

Abstract

Null tetrads are shown to be a valuable tool in teleparallel theories of modified gravity. We use them to prove that Kerr geometry remains a solution for a wide family of f(T) theories of gravity.

7 pages. Improved version; one reference updated and one new reference added. Accepted for publication in Eur. Phys. J. C

References in corpus (37)

• f(R) Theories Of Gravity
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• The teleparallel equivalent of general relativity
• f(T) Gravity and local Lorentz invariance
• On Born-Infeld Gravity in Weitzenbock spacetime
• Equation of state for dark energy in $f(T)$ gravity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• Torsion Gravity: a Reappraisal
• Large-scale Structure in f(T) Gravity
• 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
• Observational information for f(T) theories and Dark Torsion
• Spherically symmetric static spacetimes in vacuum f(T) gravity
• Conformal transformation in $f(T)$ theories
• Energy and angular momentum of the gravitational field in the teleparallel geometry
• Axially symmetric solutions in f(R)-gravity
• $f(T)$ Theories and Varying Fine Structure Constant
• The Existence of Godel, Einstein and de Sitter Universes
• Regularizing role of teleparallelism
• Axial-Vector Torsion and the Teleparallel Kerr Spacetime
• Gödel-type universes in f(R) gravity
• Accretion disks around black holes in modified strong gravity
• Regularized expression for the gravitational energy-momentum in teleparallel gravity and the principle of equivalence
• Instability of rotating black hole in a limited form of $f(R)$ gravity
• Gödel-type universes in Palatini f(R) gravity
• Born-Infeld Determinantal gravity and the taming of the conical singularity in 3-dimensional spacetime
• Instability of a Kerr black hole in f(R) gravity
• Untangling the Newman-Janis algorithm
• Gödel-type universes in f(T) gravity
• Energy and Angular Momentum Densities in a Godel-Type Universe in the Teleparallel Geometry
• Gravitational Energy of Kerr and Kerr Anti-de Sitter Space-times in the Teleparallel Geometry
• Goedel type solution in teleparallel gravity

Cited by in corpus (39)

• Teleparallel Gravity: From Theory to Cosmology
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Covariant formulation of scalar-torsion gravity
• Hamiltonian formalism for f(T) gravity
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Solar System tests in $f(T)$ gravity
• Constraining f(T) gravity in the Solar System
• Quasinormal modes of black holes in f(T) gravity
• Nonsingular black holes, wormholes, and de Sitter cores from anisotropic fluids
• Quest for the extra degree of freedom in f(T) gravity
• The Hidden Flat Like Universe: Starobinsky-like inflation induced by f(T) gravity
• Compact stars in $f(T)$ extended theory of gravity
• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Coincident gauge for static spherical field configurations in symmetric teleparallel gravity
• Reconstruction of $f(T)$-gravity in the absence of matter
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Approaches to spherically symmetric solutions in f(T) gravity
• McVittie solution in f(T) gravity
• Exploring Axial Symmetry in Modified Teleparallel Gravity
• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity
• Pseudoinvariance and the extra degree of freedom in f(T) gravity
• Rotating and non-rotating AdS black holes in $f(\mathcal{T})$ gravity non-linear electrodynamics
• On Conserved Quantities for the Schwarzschild Black Hole in Teleparallel Gravity
• Flat connection for rotating vacuum spacetimes in extended teleparallel gravity theories
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Boson stars in $f(T)$ extended theory of gravity
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Disformal transformations in modified teleparallel gravity
• The Hidden Flat Like Universe II: Quasi inverse power law inflation by $f(T)$ gravity
• Charged Anti-de Sitter BTZ black holes in Maxwell-$f(T)$ gravity
• The geometrical meaning of the Weitzenböck connection
• Dynamic properties of cyclic cosmologies
• Degrees of Freedom in modified Teleparallel Gravity
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• Mass and angular momentum for the Kerr black hole in TEGR and STEGR
• Kerr-Schild metrics in teleparallel gravity