Conformal vector fields of some vacuum classes of static spherically symmetric space-times in f(T,B) gravity

Autor:	Muhammad Ramzan, Shabeela Malik, Fiaz Hussain, Ghulam Shabbir
Rok vydání:	2020
Předmět:	Physics Gravity (chemistry) Physics and Astronomy (miscellaneous) Symmetric space Torsion (mechanics) Vector field Conformal map Mathematical physics
Zdroj:	International Journal of Geometric Methods in Modern Physics. 17:2050149
ISSN:	1793-6977 0219-8878
DOI:	10.1142/s0219887820501492
Popis:	The aim of this paper is to investigate the conformal vector fields (CVFs) for some vacuum classes of static spherically symmetric space-times in [Formula: see text] gravity. First, we have explored the space-times by solving the Einstein field equations in [Formula: see text] gravity. These solutions have been obtained by imposing various conditions on the space-time components and selecting separable form of the bivariate function [Formula: see text]. Second, we find the CVFs of the obtained space-times via direct integration approach. The overall study reveals that there exist 17 cases. From these 17 cases, the space-times in five cases admit proper CVFs whereas in rest of the 12 cases, CVFs become Killing vector fields (KVFs). We have also calculated the torsion scalar and boundary term for each of the obtained solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6dde5a16afda2ba4b9a2ce094e566b43 https://doi.org/10.1142/s0219887820501492 Zobrazit plný text záznamu