Mimetic black holes

In this paper, we formulate the Mimetic theory of gravity in first-order formalism for differential forms, i.e., the mimetic version of Einstein-Cartan-Sciama-Kibble (ECSK) gravity. We consider different possibilities on how torsion is affected by Weyl transformations and discuss how this translates into the interpolation between two different Weyl transformations of the spin connection, parameterized with a zero-form parameter λ. We prove that regardless of the type of transformation one chooses, in this setting torsion remains as a non-propagating field. We also discuss the conservation of the mimetic stress-energy tensor and show that the trace of the total stress-energy tensor is not null but depends on both, the value of λ and spacetime torsion.

Section: Jhep10(2020)150mentioning

confidence: 99%

Mimetic Einstein-Cartan-Sciama-Kibble (ECSK) gravity

Izaurieta

Medina

Merino

et al. 2020

“…It has also been shown that this theory can explain the flat rotation curves of spiral galaxies [39,40]. Mimetic theory of gravity has arisen a lot of enthusiasm in the past few years both from the cosmological viewpoint [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56] as well as black holes physics [57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72].…”

Section: Introductionmentioning

confidence: 99%

Mimetic gravity in (2 + 1)-dimensions

Sheykhi

2021

One of the most important achievements in general relativity has been discovery of the (2 + 1)-dimensional black hole solutions of Einstein gravity in anti-de Sitter (AdS) spacetime [7]. In this paper, we construct, for the first time, the (2 + 1)-dimensional solutions of mimetic theory of gravity. These solutions may provide a powerful background to investigate the physical properties of mimetic gravity and examine its viability in lower spacetime dimensions. In particular, some physical properties of stationary black hole solutions of this theory in the presence of charge or angular momentum are investigated.

“…Topological black holes in mimetic gravity in the presence of constant potential for the mimetic field were recently obtained in [26]. By gluing an exterior static solution to a time-dependent anisotropic interior solution, the authors of [27] constructed mimetic black hole spacetime. They also revealed that these two solutions match continuously on the event horizon [27].…”

Section: Introductionmentioning

confidence: 99%

“…By gluing an exterior static solution to a time-dependent anisotropic interior solution, the authors of [27] constructed mimetic black hole spacetime. They also revealed that these two solutions match continuously on the event horizon [27]. The authors of [28,29] considered static and rotating solutions of mimetic gravity with flat or cylindrical horizon in the presence of cosmological constant.…”

Section: Introductionmentioning

confidence: 99%

“…The reason is that they have simply assumed g tt = −g rr , and arrived at a special solution of the mimetic field equations. In order to reflect the impact of the extra degree of freedom of the gravitational field equations, encoded in the mimetic scalar field, on the metric functions, one need to consider the more general spacetime with g tt = −g rr [18,19,26,27,[30][31][32]. Other studies on mimetic gravity can be carried out in [33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mimetic black strings

Sheykhi

2020

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.