Energy conditions in 
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 gravity

Mandal, Sanjay; Sahoo, P. K.; Santos, J.

doi:10.1103/physrevd.102.024057

Cited by 172 publications

(96 citation statements)

References 40 publications

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“…where (4) ≡ η μν ∂ μ ∂ ν . Obviously, the perturbed equation is second order, which is similar with the perturbed equation of the thick brane in f (R) gravity formally [30].…”

Section: Tensor Perturbationmentioning

confidence: 99%

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Thick braneworld model in nonmetricity formulation of general relativity and its stability

Zhao

Xie

2021

Eur. Phys. J. C

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In this paper, we study the thick brane system in the so-called f(Q) gravity, where the gravitational interaction was encoded by the nonmetricity Q like scalar curvature R in general relativity. With a special choice of $$f(Q)=Q-b Q^n$$ f ( Q ) = Q - b Q n , we find that the thick brane system can be solved analytically with the first-order formalism, where the complicated second-order differential equation is transformed to several first-order differential equations. Moreover, the stability of the thick brane system under tensor perturbation is also investigated. It is shown that the tachyonic states are absent and the graviton zero mode can be localized on the brane. Thus, the four-dimensional Newtonian potential can be recovered at low energy. Besides, the corrections of the massive graviton Kaluza–Klein modes to the Newtonian potential are also analyzed briefly.

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“…where (4) ≡ η μν ∂ μ ∂ ν . Obviously, the perturbed equation is second order, which is similar with the perturbed equation of the thick brane in f (R) gravity formally [30].…”

Section: Tensor Perturbationmentioning

confidence: 99%

“…In Ref. [4], the authors investigated the energy conditions for some explicit f (Q) models, which can be used to fix some free parameters and give some restrictions on the form of f (Q). In Ref.…”

Section: Introductionmentioning

confidence: 99%

Thick braneworld model in nonmetricity formulation of general relativity and its stability

Zhao

Xie

2021

Eur. Phys. J. C

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“…One possibility is to generalize the symmetric teleparallel gravity action by replacing the non-metricity scalar with an arbitrary function F (Q), following the same line of thought as the aforementioned F (R) and F (T ) theories [46]. This class of theories has been studied in particular in the context of cosmology [47][48][49][50][51]. Another possibility is given by generalizing the non-metricity scalar to other terms quadratic in the non-metricity tensor, known as newer general relativity [46,[52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Post-Newtonian limit of generalized scalar-torsion theories of gravity

Flathmann

Hohmann

2020

Phys. Rev. D

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In this article we derive the post-Newtonian limit of a class of teleparallel theories of gravity, where the action is a free function L(T, X, Y, φ) of the Torsion scalar T and scalar quantities X and Y built from the dynamical scalar field φ. We restrict the analysis to a massless scalar field in order to use the parameterized post-Newtonian formalism without modifications, such as introducing an effective gravitational constant which depends on the distance between the interacting masses. In particular the results show a class of fully-conservative theories of gravity, where the only nonvanishing parameters are γ and β. For a particular choice of the function L(T, X, Y, φ) the theory cannot be distinguished from General Relativity in its post-Newtonian approximation.

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“…where P λ µν (F R ) is the modified Palatini tensor defined in (4), while Θ µν and Θ λ µν are given by Equations ( 43) and (48), respectively.…”

Section: Metric-affine F(r T ) Theorymentioning

confidence: 99%

Metric-Affine Myrzakulov Gravity Theories

Myrzakulov

Ravera

2021

Symmetry

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In this paper, we review the so-called Myrzakulov Gravity models (MG-N, with N=I,II,…,VIII) and derive their respective metric-affine generalizations (MAMG-N), discussing also their particular sub-cases. The field equations of the theories are obtained by regarding the metric tensor and the general affine connection as independent variables. We then focus on the case in which the function characterizing the aforementioned metric-affine models is linear and consider a Friedmann-Lemaître–Robertson–Walker background to study cosmological aspects and applications. Historical motivation for this research is thoroughly reviewed and specific physical motivations are provided for the aforementioned family of alternative theories of gravity.

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Energy conditions in f(Q) gravity

Cited by 172 publications

References 40 publications

Thick braneworld model in nonmetricity formulation of general relativity and its stability

Thick braneworld model in nonmetricity formulation of general relativity and its stability

Post-Newtonian limit of generalized scalar-torsion theories of gravity

Metric-Affine Myrzakulov Gravity Theories

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