Mimetic gravity in (2 + 1)-dimensions

Sheykhi, Ahmad

doi:10.1007/jhep01(2021)043

Cited by 19 publications

(9 citation statements)

References 67 publications

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“…In the present work, we are going to find the charged static and rotating solutions in the context of mimetic gravity in D > 4 space-time dimensions and investigate their physical properties. The solutions are indeed the generalizations of those obtained in [20,21] to higher dimensions. Depending on their identifications, one can interpret them as black holes, or black strings/branes.…”

Section: Introductionsupporting

confidence: 68%

“…It also was shown that, in the framework of mimetic gravity, a schwarzschild black hole can be exist without singularity [18]. Recently, in [19][20][21] the authors obtained topological black hole, black string as well as 3-dimensional BTZ-like solutions in the framework of mimetic gravity. From the cosmological point of view, in [22] the authors indicate that the singularities in cosmological solutions can be easily removed by considering the longitudinal degree of freedom of gravity to be dynamical.…”

Section: Introductionmentioning

confidence: 99%

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Higher dimensional charged static and rotating solutions in mimetic gravity

Bakhtiarizadeh

2021

Preprint

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We find new solutions to the Einstein-Maxwell equations in the presence of mimetic field in D dimensions, all of which are asymptotically anti-de Sitter (AdS) space-times. We first derive the solutions in 5-dimensional spacetime, in detail. Then, by extending our calculations to six and seven dimensions, we will obtain a general form for solutions in D > 4 dimensions. The results describe electrically charged static and rotating solutions, which have spherical, toroidal or cylindrical horizons and depending on their global identifications can be regarded as black holes, or black strings/branes. Some physical properties of solutions such as horizons, singularities as well as entropy, mass and angular momenta of rotating solutions are also investigated.

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Section: Introductionsupporting

confidence: 68%

Section: Introductionmentioning

confidence: 99%

Higher dimensional charged static and rotating solutions in mimetic gravity

Bakhtiarizadeh

2021

Preprint

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“…The BH solutions of gravitational theory are considered as the most interesting astrophysical objects that exist in physics. These amazing configurations supply us with a strong indication for discovering several branches of physics, e.g., thermodynamics, information theory, paramagnetism-ferromagnetism phase transition, holographic hypothesis, superconducting phase transition, condensed matter physics, quantum gravity, superfluids, and spectroscopy [52]. Recently, BH solutions have gained much attention after several efforts to understand the confusion of the information paradox [53] and the shadow of supermassive BHs as the first results of the M87 Event Horizon Telescope [54].…”

Section: Introductionmentioning

confidence: 99%

Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes

Nashed,

Nojiri

2021

Preprint

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We construct several new classes of black hole (BH) solutions in the context of the mimetic Euler-Heisenberg theory. We separately derive three differently charged BH solutions and their relevant mimetic forms. We show that the asymptotic form of all BH solutions behaves like a flat spacetime. These BHs, either with/without cosmological constant, have the non constant Ricci scalar, due to the contribution of the Euler-Heisenberg parameter, which means that they are not solution to standard or mimetic f (R) gravitational theory without the Euler-Heisenberg non-linear electrodynamics and at the same time they are not equivalent to the solutions of the Einstein gravity with a massless scalar field. Moreover, we display that the effect of the Euler-Heisenberg theory makes the singularity of BH solutions stronger compared with that of BH solutions in general relativity. Furthermore, we show that the null and strong energy conditions of those BH solutions are violated, which is a general trend of mimetic gravitational theory. The thermodynamics of the BH solutions are satisfactory although there appears a negative Hawking temperature under some conditions. Additionally, these BHs obey the first law of thermodynamics. We also study the stability, using the geodesic deviation, and derive the stability condition analytically and graphically. Finally, for the first time and under some conditions, we derived multi-horizon BH solutions in the context of the mimetic Euler-Heisenberg theory and study their related physics.

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“…The existence of soft gravitons and/or soft photons, on the BH horizon and their quantum state information which is stored on a holographic plate at the future boundary of the horizon, are discussed in [1]. The entropy and microscopic construction of BH near the horizon are discussed through the soft hairs in [3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity

Nojiri,

Nashed

2022

Preprint

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We show that the mimetic theory with the constraint g ρσ ∂ρφ∂σφ = 1 cannot realize the black hole geometry with the horizon(s). To overcome such issue, we may change the mimetic constraint a little bit by ω(φ)g ρσ ∂ρφ∂σφ = −1, where ω(φ) is a function of the scalar field φ. As an example, we consider (2 + 1)-dimensional mimetic gravity with the mimetic potential and construct black hole (BH) solutions by using this modified constraint. We study three different classes: In the first class, we assume the Lagrange multiplier and mimetic potential are vanishing and obtain a BH solution that fully matches the BH of GR despite the non-triviality of the mimetic field which ensures the study presented in JCAP 01 (2019) 058. In the second class, we obtain a BH having constant mimetic potential and a non-trivial form of the Lagrange multiplier. In the third class, we obtain a new BH solution with non-vanishing values of the mimetic field, the Lagrange multiplier, and the mimetic potential. In any case, the solutions correspond to the space-time with only one horizon but we show that the formalism for the constraint works.

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Mimetic gravity in (2 + 1)-dimensions

Cited by 19 publications

References 67 publications

Higher dimensional charged static and rotating solutions in mimetic gravity

Higher dimensional charged static and rotating solutions in mimetic gravity

Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes

Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity

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