Possibility of higher dimensional anisotropic compact star

Bhar, Piyali; Rahaman, Farook; Ray, Saibal; Chatterjee, Vikram

doi:10.1140/epjc/s10052-015-3375-z

Possibility of higher dimensional anisotropic compact star

Oct 29, 2014

16 pages

Published in:

Eur.Phys.J.C 75 (2015) 5, 190

Published: May 5, 2015

e-Print:

1503.03439 [gr-qc]

DOI:

10.1140/epjc/s10052-015-3375-z

View in:

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Abstract: (Springer)

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

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_{\odot }

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.

Note:

21 pages, 6 figures, 1 table, Substantial modification in the whole manuscript, Accepted in Eur. Phys. J. C

star: compact
star: anisotropy
space-time: noncommutative
geometry: noncommutative
pressure: transverse
higher-dimensional
distribution function
field equations
transformation: conformal
general relativity

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