Kerr-Schild metrics in teleparallel gravity
arXiv:2103.02620 · doi:10.1140/epjc/s10052-021-09551-5
Abstract
We show that the Kerr-Schild ansatz can be extended from the metric to the tetrad, and then to teleparallel gravity where curvature vanishes but torsion does not. We derive the equations of motion for the Kerr-Schild null vector, and describe the solution for a rotating black hole in this framework. It is shown that the solution depends on the chosen tetrad in a non-trivial way if the spin connection is fixed to be the one of the flat background spacetime. We show furthermore that any Kerr-Schild solution with a flat background is also a solution of gravity.
arXiv comment11 pages, matches published version
References in corpus (28)
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- The General Kerr-de Sitter Metrics in All Dimensions
- The covariant formulation of f(T) gravity
- Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
- Gravitational Energy-Momentum Density in Teleparallel Gravity
- Metric-affine approach to teleparallel gravity
- On the covariance of teleparallel gravity theories
- Energy and angular momentum of charged rotating black holes
- Symmetric teleparallel general relativity
- Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
- Energy and angular momentum of the gravitational field in the teleparallel geometry
- Modified teleparallel theories of gravity in symmetric spacetimes
- Currents and the Energy-Momentum Tensor in Classical Field Theory: A fresh look at an Old Problem
- Regularizing role of teleparallelism
- Covariance properties and regularization of conserved currents in tetrad gravity
- Spin Connection and Renormalization of Teleparallel Action
- Axial-Vector Torsion and the Teleparallel Kerr Spacetime
- Astrophysical flows near gravity black holes
- Regularized expression for the gravitational energy-momentum in teleparallel gravity and the principle of equivalence
- Regular black holes via the Kerr-Schild construction in DHOST theories
- Kerr geometry in f(T) gravity
- Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
- Symmetry and Equivalence in Teleparallel Gravity
- Exploring Axial Symmetry in Modified Teleparallel Gravity
- Rotating and non-rotating AdS black holes in gravity non-linear electrodynamics
- Conserved Currents and Superpotentials in Teleparallel Equivalent of General Relativity
- Flat connection for rotating vacuum spacetimes in extended teleparallel gravity theories
- Difficulties of Teleparallel Theories of Gravity with Local Lorentz Symmetry