Spherically symmetric geometries in \(f(T)\) and \(f(R)\) gravitational theories
type: Item
instance of: scholarly article
title: Spherically symmetric geometries in \(f(T)\) and \(f(R)\) gravitational theories
zbMATH Open document ID: 1433.83034
DOI: 10.1155/2015/821519
author: Gamal G. L. Nashed
published in: Advances in High Energy Physics
publication date: 2015-11-06T00:00:00Z
review text: Summary: Using the well know relation between Ricci scalar, \(R\), and torsion scalar, \(T\), that is, \(R=-T-2\nabla_\alpha T^\alpha\), we show that, for any spherically symmetric spacetime whose (i) scalar torsion vanishing, that is, \(T=T_{\mu\nu}^\alpha S_\alpha^{\mu\nu}=0\) or (ii) total derivative term, that is, \(\nabla_\alpha T^\alpha\) with \(T^\alpha\) is the contraction of the torsion, vanishing, or (iii) the combination of scalar torsion and total derivative term vanishing, could be solution for \(f(T)\) and \(f(R)\) gravitational theories.
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83C20
zbMATH DE Number: 6505180
Wikidata QID: Q59102405
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/821519
OpenAlex ID: W1567413400
cites work: Mach's Principle and a Relativistic Theory of Gravitation
cites work: Renormalization of a Classical Gravitational Field Interacting with Quantized Matter Fields
cites work: The Einstein Tensor and Its Generalizations
cites work: 4D gravity on a brane in 5D Minkowski space
cites work: Measurements of Ω and Λ from 42 High‐Redshift Supernovae
cites work: Cosmological constant -- the weight of the vacuum
cites work: The cosmological constant and dark energy
cites work: DYNAMICS OF DARK ENERGY
cites work: Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
cites work: Matter bounce cosmology with the f ( T ) gravity
cites work: FRW and Bianchi type I cosmology of f-essence
cites work: Generalized teleparallel gravity via some scalar field dark energy models
cites work: Effective \(F(T)\) gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
cites work: Cosmological constraints on polytropic gas model
cites work: Circularly symmetric solutions in three-dimensional teleparallel, \(f(T)\) and Maxwell-\(f(T)\) gravity
cites work: A special exact spherically symmetric solution in f(T) gravity theories
cites work: Stationary axisymmetric solutions and their energy contents in teleparallel equivalent of Einstein theory
description: scientific article; zbMATH DE number 6505180