Interior volume and entropy of higher-dimensional charged black holes

¹ Department of Physics, Sripat Singh College - Jiaganj, Murshidabad, 742123, India
² Department of Mathematics, The University of Burdwan, Golapbag Academic Complex - Burdwan 713104, Purba Burdwan, West Bengal, India

^(a) amritendu.h@gmail.com
^(b) biswas.ritabrata@gmail.com

Received: 26 April 2019
Accepted: 18 November 2019

Abstract

The study of the black holes in higher-dimensional space-time has got the focus mainly after developments of string theory or M-theory. Beside this, construction of brane world scenario also motivates to study the properties of higher-dimensional black holes. In this letter, we calculate the maximal interior volume of higher-dimensional charged black holes which is actually the extension of a previous work (Ong Y. C., Gen. Relativ. Gravit., 47 (2015) 88 (arXiv:gr-qc/1503.08245)) in addition to the study of entropy of the same class of black holes' interior. The actual detail investigation and proof have been shown in Christodoulou M. and Lorenzo T. D., Phys. Rev. D, 94 (2016) 104002 (arXiv:gr-qc/1604.07222). We try in this letter, to establish a generalized form which is not only the maximal interior volume but also the entropy of the black hole in its interior for Schwarzschild like regular black holes. We also show how their behaviors depend on the mass parameter m considering the constant valued horizon and for the charge parameter q = 0 and q > 0.