Possibility of higher-dimensional anisotropic compact star

Abstract

We provide a new class of interior solutions for anisotropic stars admitting conformal motion in higherdimensional 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 4 and higher dimensions, e.g. 5, 6, and 11 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 2.27 M and radius 4.17 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 4D 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.

Generalised model for anisotropic compact stars

“…It is interesting to note that all the data fall within the observed range of the corresponding star's physical parameters [12,22,31,[44][45][46][47]. It would be interesting to perform a comparative study with the data of our Table 3 with that of Table 4 of Maurya et al [25] where they have prepared the table for the value of n = 3.3 only for different compact stars whereas in the present study our table includes a wide range of n = 3 to n = 10,000.…”

“…It is to further noteworthy that this low value surface redshift is not at unavailable in the literature where Shee et al [43] obtained a numerical value for Z as 0.30 (also see Refs. [12,[44][45][46][47] for a low value surface redshift).…”

Relativistic compact stars in f ( T ) $f(T)$ gravity admitting conformal motion

“…A tally of this value with the already available data set immediately reveals that the star is nothing but either a quark/strange star (see Table 1 of the Ref. Bhar et al (2015)) or a brown dwarf star of type F5 (see the Link: http://www.world-builders.org/lessons/less/les1/StarTables.html).…”

“…Ray et al (2008), Rahaman et al (2010aRahaman et al ( ,b, 2014Rahaman et al ( , 2015b, Usmani et al (2011) andBhar (2014). In this line of investigations some special mention are of the very recent works of Rahaman et al (2015a) and Bhar et al (2015). Search for a new wormhole solution inspired by noncommutative geometry with the additional condition of allowing conformal Killing vectors was performed by Rahaman et al (2015a) whereas Bhar et al (2015) have shown that a new class of interior solutions for anisotropic stars are possible by admitting conformal motion in higher-dimensional noncommutative spacetime.…”

“…In this line of investigations some special mention are of the very recent works of Rahaman et al (2015a) and Bhar et al (2015). Search for a new wormhole solution inspired by noncommutative geometry with the additional condition of allowing conformal Killing vectors was performed by Rahaman et al (2015a) whereas Bhar et al (2015) have shown that a new class of interior solutions for anisotropic stars are possible by admitting conformal motion in higher-dimensional noncommutative spacetime. Interior solutions admitting conformal motions also have been studied extensively in the past by Herrera and his co-workers (Herrera et al 1984;Herrera and Ponce de Leon 1985a,b,c).…”