Charged Einstein-aether black holes and Smarr formula

Chikun Ding, Anzhong Wang, and Xinwen Wang

Phys. Rev. D 92, 084055 – Published 26 October 2015

Abstract

In the framework of the Einstein-Maxwell-aether theory, we present two new classes of exact charged black hole solutions, which are asymptotically flat and possess the universal as well as Killing horizons. We also construct the Smarr formulas and calculate the temperatures of the horizons, using the Smarr mass-area relation. We find that, in contrast to the neutral case, a temperature obtained this way is not proportional to its surface gravity at either of the two types of horizons. Einstein-Maxwell-aether black holes with the cosmological constant and their topological cousins are also presented.

Received 10 August 2015

DOI:https://doi.org/10.1103/PhysRevD.92.084055

Authors & Affiliations

Chikun Ding^1,2,†, Anzhong Wang^2,3,4,*, and Xinwen Wang^2,3,‡

¹Department of Information Science and Technology, Hunan University of Humanities, Science and Technology, Loudi, Hunan 417000, People’s Republic of China
²GCAP-CASPER, Physics Department, Baylor University, Waco, Texas 76798-7316, USA
³Institute for Advanced Physics Mathematics, Zhejiang University of Technology, Hangzhou 310032, China
⁴Departamento de Física Teórica, Instituto de Física, The State University of Rio de Janeiro, 20550-900 Rio de Janeiro, Brazil

^*Corresponding author. Anzhong_Wang@baylor.edu
^†Chikun_Ding@baylor.edu
^‡Xinwen_Wang@baylor.edu

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Vol. 92, Iss. 8 — 15 October 2015

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Physical Review D

covering particles, fields, gravitation, and cosmology