Vacuum spherically symmetric solutions in $f(T)$ gravity

Abstract

Spherically symmetric static vacuum solutions have been built in $f(T)$ models of gravity theory. We apply some conditions on the metric components; then the new vacuum spherically symmetric solutions are obtained. Also, by extracting metric coefficients we determine the analytical form of $f(T)$.

8 pages,typos corrected, Refs. added

References in corpus (7)

• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Spherically symmetric static spacetimes in vacuum f(T) gravity
• Static Anisotropic Solutions in f(T) Theory
• New Static Solutions in f(T) Theory
• Stellar configurations in f(R) theories of gravity

Cited by in corpus (21)

• f(T) teleparallel gravity and cosmology
• The covariant formulation of f(T) gravity
• Stability of motion and thermodynamics in charged black holes in $f(T)$ gravity
• Quasinormal modes of black holes in f(T) gravity
• Traversable wormholes in the extended teleparallel theory of gravity with matter coupling
• FRW in quadratic form of $f(T)$ gravitational theories
• 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
• Static and spherically symmetric wormholes in metric-affine theories of gravity
• Charged Black Holes in Generalized Teleparallel Gravity
• Deflection angle and lensing signature of covariant f(T) gravity
• Growth of matter overdensities in non-minimal torsion-matter coupling theories
• Violation of causality in $f(T)$ gravity
• Gravitational Lensing in Modified Gravity: A case study for Fast Radio Bursts
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• Renormalizability of alternative theories of gravity: differences between power counting and entropy argument
• Mass of compact stars in f(T) gravity
• f(T) Quantum Cosmology
• Brane cosmology in teleparallel and $f(T)$ gravity
• Quantum cosmology in teleparallel gravity with a boundary term