Noncommutative geometry inspired rotating black string

Author:

Singh Dharm Veer1,Ali Md Sabir1,Ghosh Sushant G.23

Affiliation:

1. Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi 110025, India

2. Centre for Theoretical Physics and Multidisciplinary Centre, for Advanced Research and Studies (MCARS), Jamia Millia Islamia, New Delhi 110025, India

3. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa

Abstract

Noncommutativity is an idea dating back to that early times of quantum mechanics and the string theory induced noncommutative (NC) geometry provided an effective framework to study the short distance spacetime dynamics. Also, string theory, a candidate for a consistent quantum theory of gravity, admits a variety of classical black hole solutions including black strings. In this paper, we study a NC geometry inspired rotating black string to cylindrical spacetime with a source given by a smeared distribution of mass. The resulting metric is a regular everywhere, i.e. curvature-singularity free rotating black string, that in large [Formula: see text] limit interpolates Lemos black string. Thermodynamical properties of the black strings are also investigated and exact expressions for the temperature, the entropy and the heat capacity are obtained. Owing to the NC correction in the solution, the thermodynamic quantities have also been modified and that the NC geometry inspired black string is always thermodynamically stable.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

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