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Exact topological charged hairy black holes in AdS Space in $D$-dimensions

High Energy Physics - Theory 2020-07-22 v1 General Relativity and Quantum Cosmology

Abstract

We present a new family of topological charged hairy black hole solutions in asymptotically AdS space in DD-dimensions. We solve the coupled Einstein-Maxwell-Scalar gravity system and obtain exact charged hairy black hole solutions with planar, spherical and hyperbolic horizon topologies. The scalar field is regular everywhere. We discuss the thermodynamics of the hairy black hole and find drastic changes in its thermodynamic structure due to the scalar field. For the case of planar and spherical horizons, we find charged hairy/RN-AdS black hole phase transition, with thermodynamically preferred and stable charged hairy phases at low temperature. For the case of hyperbolic horizon, no such transition occurs and RN-AdS black holes are always thermodynamically favoured.

Keywords

Cite

@article{arxiv.2004.00921,
  title  = {Exact topological charged hairy black holes in AdS Space in $D$-dimensions},
  author = {Subhash Mahapatra and Supragyan Priyadarshinee and Gosala Narasimha Reddy and Bhaskar Shukla},
  journal= {arXiv preprint arXiv:2004.00921},
  year   = {2020}
}

Comments

26 pages, many figures, comments are welcome