General black hole solutions in ($2+1$)-dimensions with a scalar field nonminimally coupled to gravity

General black hole solutions in ( $2 + 1$ )-dimensions with a scalar field nonminimally coupled to gravity

Zi-Yu Tang, Yen Chin Ong, Bin Wang, and Eleftherios Papantonopoulos

Phys. Rev. D 100, 024003 – Published 8 July 2019

Abstract

We discuss black hole solutions in ( $2 + 1$ )-dimensions with a scalar field nonminimally coupled to Einstein’s gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the potential, we find a general solution of the field equations, which includes all the known asymptotically anti–de Sitter (AdS) black hole solutions in ( $2 + 1$ )-dimensions as special cases once values of the coupling constants are chosen appropriately. In addition, we obtain numerically new black hole solutions and for some specific choices of the coupling constants we derive new exact AdS black hole solutions. We also discuss the possibility of obtaining asymptotically de Sitter black hole solutions with or without an electromagnetic field.

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Received 30 March 2019

DOI:https://doi.org/10.1103/PhysRevD.100.024003

Physics Subject Headings (PhySH)

General relativity Gravitation

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Zi-Yu Tang ^1,2,*, Yen Chin Ong^3,†, Bin Wang^4,3,‡, and Eleftherios Papantonopoulos^5,§

¹Center for Astronomy and Astrophysics, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
²Collaborative Innovation Center of IFSA (CICIFSA), Shanghai Jiao Tong University, Shanghai 200240, China
³Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China
⁴School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China
⁵Physics Division, National Technical University of Athens, 15780 Zografou Campus, Athens, Greece

^*tangziyu@sjtu.edu.cn
^†ycong@yzu.edu.cn
^‡wang_b@sjtu.edu.cn
^§lpapa@central.ntua.gr

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Issue

Vol. 100, Iss. 2 — 15 July 2019

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