The Mimetic Born-Infeld Gravity: The Primordial Cosmos and Spherically Symmetric Solutions

Chen, Che-Yu; Bouhmadi-López, Mariam; Chen, Pisin

doi:10.3390/galaxies5040087

Cited by 3 publications

(3 citation statements)

References 41 publications

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“…Besides, many authors have considered different aspects of mimetic gravity during the last years with exciting results. Some examples are black holes [44][45][46][47][48][49][50][51][52][53][54], black strings [55], and braneworld scenarios [56][57][58][59][60][61], among others. For a more exhaustive survey, see and references therein.…”

Section: Jhep10(2020)150mentioning

confidence: 99%

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

Izaurieta

Medina

Merino

et al. 2020

J. High Energ. Phys.

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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.

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Section: Jhep10(2020)150mentioning

confidence: 99%

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

Izaurieta

Medina

Merino

et al. 2020

J. High Energ. Phys.

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“…More applications of mimetic gravity on cosmology can be seen in Refs. [14][15][16][17][18][19][20][21]. For more details of mimetic gravity, see Ref.…”

Section: Introductionmentioning

confidence: 99%

Thick brane in mimetic f(T) gravity

et al. 2020

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We apply the mimetic f (T ) theory into the thick brane model. We take the Lagrange multiplier formulation of the action and get the corresponding field equations of motion. Considering the mimetic field as a single-kink or a double-kink, we find solutions for different kinds of f (T ). Besides, we investigate the stability of the mimetic f (T ) brane by considering the tensor perturbations of the vielbein. Localization problem is also studied and it is shown that the four-dimensional gravity can be recovered for all the solutions. The effects of the torsion show that for the polynomial form of f (T ), the zero mode has a split compared with that of f (T ) = T , but the situations for the exponential form of f (T ) are similar to that of f (T ) = T .

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“…Besides, many authors have considered different aspects of mimetic gravity during the last years with exciting results. For instance, in black holes [44][45][46][47][48][49][50][51][52][53][54], black strings [55], brane-world scenario [56][57][58][59][60][61], among others. For a more exhaustive survey, see and references therein.…”

Section: Introductionmentioning

confidence: 99%

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

Izaurieta,

Medina,

Merino

et al. 2020

Preprint

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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-Kibble-Sciama (ECKS) gravity. We consider different possibilities on how torsion is affected by conformal transformations and discuss how this translates into the interpolation between two different conformal 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.

show abstract

The Mimetic Born-Infeld Gravity: The Primordial Cosmos and Spherically Symmetric Solutions

Cited by 3 publications

References 41 publications

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

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

Thick brane in mimetic f(T) gravity

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

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