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arXiv · 1211.1228

Static Charged Fluid in (2+1)-Dimensions Admitting Conformal Killing Vectors

Farook Rahaman·Saibal Ray·Indrani Karar·Hafiza Ismat Fatima·Saikat Bhowmick·Gourab Kumar Ghosh
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Abstract

New solutions for $(2+1)$-dimensional Einstein-Maxwell space-time are found for a static spherically symmetric charged fluid distribution with the additional condition of allowing conformal killing vectors (CKV). We discuss physical properties of the fluid parameters. Moreover, it is shown that the model actually represents two structures, namely (i) Gravastar as an alternative of black hole and (ii) Electromagnetic Mass model depending on the nature of the equation state of the fluid. Here the gravitational mass originates from electromagnetic field alone. The solutions are matched with the exterior region of the Ba$\tilde{n}$ados-Teitelboim-Zanelli (BTZ) type isotropic static charged black hole as a consequence of junction conditions. We have shown that the central charge density is dependent on the value of $M_0$, the conserved mass of the BTZ black hole. This in turn depends on the black hole event horizon which again is related to the Hawking radiation temperature of a BTZ black hole. Thus one may have a clue that the central charge density is related with Hawking radiation temperature of the BTZ black hole on the exterior region of the static charged fluid sphere.

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Farook Rahaman, Saibal Ray, Indrani Karar, Hafiza Ismat Fatima, Saikat Bhowmick, Gourab Kumar Ghosh. 2014-02-24. Static Charged Fluid in (2+1)-Dimensions Admitting Conformal Killing Vectors. https://arxiv.org/abs/1211.1228

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