Mimetic black strings
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Springer
Received: March 4, Revised: May 26, Accepted: June 12, Published: July 6,
2020 2020 2020 2020
Ahmad Sheykhi Physics Department, Shiraz University, Eram Sq., Shiraz 71454, Iran Biruni Observatory, Shiraz University, Eram Sq., Shiraz 71454, Iran Max-Planck-Institute for Gravitational Physics (Albert-Einstein-Institute), Am Muhlenberg 1, Potsdam 14476, Germany
E-mail: [email protected] Abstract: We present two new classes of black string solutions in the context of mimetic gravity. The horizon topology of these solutions can be either a flat T 2 torus with topology S 1 × S 1 , or a standard cylindrical model with topology R × S 1 . The first class describes uncharged rotating black string which its asymptotic behavior is a quotient of anti-de Sitter (AdS) space, while the second class represents asymptotically AdS charged rotating black string. We study the casual structure and physical properties of these spacetimes and calculate, the entropy, electric charge, mass and angular momentum per unit length of rotating black strings. Keywords: Black Holes, Classical Theories of Gravity ArXiv ePrint: 2002.11718
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP07(2020)031
JHEP07(2020)031
Mimetic black strings
Contents 1 Introduction
1
2 Field equations
3
3 Uncharged mimetic black string
6 11
5 Conclusion and discussion
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1
Introduction
The idea of the mimetic gravity was proposed [1], in order to shed the light on the problem of dark matter. Roughly speaking, isolating the conformal degree of freedom of the gravitational field in a covariant way, it was shown that the conformal degree of freedom can be dynamical even in the absence of matter. As a result, the extra scalar longitudinal degree of freedom of the gravitation field, can be interpreted as the energy density of the mimetic field which scales in term of the scalae factor a, as a−3 , which resembles the contribution of pressureless dust, without needing to particle dark matter [1]. In the past few years, mimetic theory of gravity has arisen a considerable attentions both in the cosmological setup as well as in stationary background. Cosmological dynamics of mimetic gravity, with various form of the potential for the mimetic field, has been investigated [2, 3]. It has been confirmed that this scenario can describe the thermal history of the universe, namely the successive sequence of radiation, matter, and dark-energy eras [3]. Besides, at late times, mimetic cosmology is capable to alleviate the cosmic coincidence problem and can be brought into good agreement with observational data [3]. It has been realized that with modification to the action of mimetic gravity, this model can address the singularities in contracting Friedmann and Kasner universes and yields a universe with limiting curvature and regular bounce [4]. Considering the coupling between mimetic scalar field with a vector field, an anisotropic model of mimetic cosmology was explored in [5]. While inflationary model in the context of mi
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