Eur. Phys. J. C (2015) 75: 190
https://doi.org/10.1140/epjc/s10052-015-3375-z

Regular Article - Theoretical Physics

Possibility of higher-dimensional anisotropic compact star

¹ Department of Mathematics, Jadavpur University, Kolkata, 700032, West Bengal, India
² Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata, 700010, West Bengal, India
³ Department of Physics, Central Footwear Training Centre, Kalipur, Budge Budge, South 24, Parganas, 700138, West Bengal, India

^* e-mail: saibal@iucaa.ernet.in

Received: 29 October 2014
Accepted: 29 March 2015
Published online: 5 May 2015

Abstract

We provide a new class of interior solutions for anisotropic stars admitting conformal motion in higher-dimensional noncommutative spacetime. The Einstein field equations are solved by choosing a particular density distribution function of Lorentzian type as provided by Nazari and Mehdipour [1, 2] under a noncommutative geometry. Several cases with and higher dimensions, e.g. , , and dimensions, are discussed separately. An overall observation is that the model parameters, such as density, radial pressure, transverse pressure, and anisotropy, all are well behaved and represent a compact star with mass   and radius  km. However, emphasis is put on the acceptability of the model from a physical point of view. As a consequence it is observed that higher dimensions, i.e. beyond spacetime, exhibit several interesting yet bizarre features, which are not at all untenable for a compact stellar model of strange quark type; thus this dictates the possibility of its extra-dimensional existence.