Charged gravastars with conformal motion in f(R,T)$f(R,T)$ gravity

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ORIGINAL ARTICLE

Charged gravastars with conformal motion in f (R, T ) gravity M. Sharif1 · Arfa Waseem1

Received: 28 May 2019 / Accepted: 29 October 2019 © Springer Nature B.V. 2019

Abstract This paper studies the effects of charge on a peculiar stellar object, recognized as gravastar, under the influence of f (R, T ) gravity by considering the conjecture of Mazur and Mottola in general relativity. The gravastar is also known as an alternative to a black hole and is expressed by three distinct domains named as (i) the interior domain, (ii) the intermediate shell and (iii) the exterior domain. We analyze these domains for a specific f (R, T ) gravity model conceding the conformal Killing vectors. In the interior domain, we assume that pressure is equal to negative energy density which leads to the existence of repulsive force on the spherical shell. The intermediate shell consists of ultrarelativistic plasma and pressure which shows a direct relation with energy density and counterbalances the repulsive force applied by the interior domain. The exterior vacuum spherical domain is taken to be the de Sitter spacetime illustrated by the Reissner-Nordström metric. We conclude that non-singular solutions of charged gravastar with various physical properties such as length, energy, entropy and equation of state parameter are physically consistent. Keywords Gravastars · f (R, T ) gravity · Conformal motion

1 Introduction The composition of stellar structures and the phenomenon of gravitational collapse are of significant interest in astro-

B M. Sharif

[email protected] A. Waseem [email protected]

1

Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan

physics which have attracted many researchers since the development of general relativity (GR). Gravitational collapse is responsible for the creation of distinct massive stars such as neutron stars, white dwarfs and black holes, referred to as compact objects. The ultimate outcome of collapse entirely relies on the initial mass of the celestial bodies. These remnants of collapse are broadly perceived from both theoretical as well as observational perspectives. Mazur and Mottola (2004) introduced a novel unique model, as an exact solution of the Einstein field equations, in terms of dark and cold compact object known as gravastar or the gravitational vacuum star. Gravastar is described as the spherically symmetric highly compact and singularity free object that can be anticipated as compact as the black hole. The structure of gravastar is expressed by three distinct domains in which the interior domain is based on the de Sitter condensate state and bounded by an extremely thin-shell composed of the ultra-relativistic matter whereas the vacuum exterior is specified by the Schwarzschild solution. The concept of gravastar is quite fascinating for the researchers as it can solve the two basic problems related to black holes, i.e., the information paradox and singularity problem. Despite several observational and theo