Conformal vector fields for some vacuum classes of pp-waves space-times in ghost free infinite derivative gravity

Autor:	Shabeela Malik, Fiaz Hussain, Muhammad Ramzan, Ghulam Shabbir
Rok vydání:	2021
Předmět:	Physics Gravity (chemistry) Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics 0103 physical sciences Order (ring theory) Vector field Conformal map Derivative 010306 general physics Space (mathematics) 01 natural sciences Mathematical physics
Zdroj:	International Journal of Geometric Methods in Modern Physics. 18:2150109
ISSN:	1793-6977 0219-8878
DOI:	10.1142/s0219887821501097
Popis:	The aim of this paper is to find conformal vector fields (CVFs) for some vacuum classes of the pp-waves space-times in the ghost free infinite derivative gravity (IDG). In order to find the CVFs of the above-mentioned space-times in the IDG, first, we deduce various classes of solutions by employing a classification procedure that in turn leads towards 10 cases. By reviewing each case thoroughly by direct integration technique, we find that there exists only one case for which the space-time admits proper CVFs whereas in rest of the cases, the space-time either becomes flat or it admits homothetic vector fields (HVFs) or Killing vector fields (KVFs). The overall dimension of CVFs for the pp-waves space-times in the IDG has turned out to be one, two, seven or fifteen.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a50c0b959c0f295af2512846508a5412 https://doi.org/10.1142/s0219887821501097 Zobrazit plný text záznamu