Charged perfect fluid sphere in higher-dimensional spacetime
- PDF / 1,051,379 Bytes
- 12 Pages / 595.276 x 790.866 pts Page_size
- 43 Downloads / 151 Views
ORIGINAL PAPER
Charged perfect fluid sphere in higher-dimensional spacetime P Bhar1,2, T Manna1,2, F Rahaman2,3, S Ray2,4,5*
and G S Khadekar2,6
1
Department of Mathematics, Government General Degree College, Singur, Hooghly, West Bengal 712409, India
2
Department of Mathematics and Statistics, St. Xaviers College, 30 Mother Teresa Sarani, Kolkata, West Bengal 700016, India 3
Department of Mathematics, Jadavpur University, Kolkata, West Bengal 700032, India
4
Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata, West Bengal 700010, India
5
Department of Natural Sciences, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal 741249, India
6
Department of Mathematics, R.T.M. Nagpur University, Mahatma Jyotiba Phule Educational Campus, Amravati Road, Nagpur, Maharastra 440033, India Received: 17 January 2019 / Accepted: 23 July 2019
Abstract: In the present paper, a new model for perfect fluid sphere filled with charge, in higher-dimensional spacetime, admitting conformal symmetry has been investigated. We have considered a linear equation of state, with coefficients fixed by the matching conditions, at the boundary of the source corresponding to the exterior Reissner–Nordstro¨m higherdimensional spacetime. Several physical features for different dimensions, starting from four up to eleven, have been briefly discussed. It has been shown that all the features as obtained from the present model are physically desirable. Keywords: General relativity; Equation of state; Higher dimension; Compact star PACS Nos.: 04.40.Nr; 04.20.Cv; 04.20.Jb
1. Introduction With the recent advancement in superstring theory, in which the spacetime is considered to be of dimensions higher than four, studies in higher-dimensional spacetime have attained tremendous importance. The higher-dimensional models provide a stand to realize the nature of the early universe. In the early stages, the universe was dense and hot. This scenario is better explained in higher dimensions. It is believed that during the expansion the extra dimensions have compactified to yield the current four-dimensional universe. Throughout the last decade, a number of articles have been published in this subject in both localized and cosmological domains. It is a common trend to believe that the four-dimensional present spacetime structure is the self-compactified form of manifold with multi-dimensions. Therefore, it is argued that theories of unification tend to require extra spatial dimensions to be
*Corresponding author, E-mail: [email protected]
consistent with the physically acceptable models [1–6]. It has been shown that some features of higher-dimensional black holes differ significantly from four-dimensional black holes as higher dimensions allow for a much richer landscape of black hole solutions that do not have fourdimensional counterparts [7]. Some recent higher-dimensional works admitting one parameter group of conformal motion can be seen in the following Refs. [8, 9]. Recently, t
Data Loading...
