Spherically symmetric configuration in 
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 gravity

Lin, Rui-Hui; Zhai, Xiang-Hua

doi:10.1103/physrevd.103.124001

Cited by 123 publications

(30 citation statements)

References 50 publications

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“…Nevertheless, Weyl geometry has gotten back to scene through proposals to unify the standard model of particles with gravity [59,60,[62][63][64][65]102] and also by looking for applications in cosmology [103,104], among other interesting physical implications. This is not to mention recent resurrection of Weyl's ideas through a generalization of the nonmetricity condition: ∇ α g µν = −Q αµν , which together with the requirement (17), are the basis of the symmetric teleparallel theories of gravity [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][91][92][93][94][95][96][97][98][99], including the so called coincident general relativity [89,100,101]. It is clumsy that, but a very few works [55,57] one can not find even a mention of the SCE in none of these papers.…”

Section: Discussionmentioning

confidence: 99%

Nonmetricity theories and aspects of gauge symmetry

Quiros

2021

Preprint

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Section: Discussionmentioning

confidence: 99%

Nonmetricity theories and aspects of gauge symmetry

Quiros

2021

Preprint

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“…This work studied the spherically symmetric static wormhole solutions in symmetric teleparallel gravity under two well-known non-commutative distributions: Gaussian and Lorentzian distributions. We have developed the corresponding field equations [67] for the spherically symmetric spacetime metric with the help of the transformations for a charged wormhole in f (Q) gravity. In this work, we have considered two WH models such as linear (f (Q) = αQ + β) and non-linear (f (Q) = Q + mQ n ) models and studied the WH solutions under non-commutative backgrounds.…”

Section: Discussionmentioning

confidence: 99%

Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity

Sokoliuk,

Hassan,

Sahoo

et al. 2022

Preprint

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We consider symmetric teleparallel gravity (STEGR), in which gravitational Lagrangian is given by the arbitrary function of non-metricity scalar Q to study static and spherically symmetric charged traversable wormhole solutions with non-commutative background geometry. The matter source at the wormhole throat is acknowledged to be anisotropic, and the redshift function has a constant value (thus, our wormhole solution is non-tidal). We derived numerically suitable forms of wormhole shape functions in the linear f (Q) = αQ + β and non-linear f (Q) = Q + mQ n STEGR models directly from the modified Einstein Field Equations (EFE's). Besides, we probed these models via Null, Dominant, and Strong energy conditions w.r.t. free MOG parameters α, β, m, and n. We also used Tolman-Oppenheimer-Vokloff (TOV) equation to investigate the stability of WH anisotropic matter in considered MOG. Finally, we plot the effective equation of state.

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“…After partially integrating the second and the third terms in Eq (52), and discarding the total derivatives, we obtain…”

Section: Gravitational Field Equationsmentioning

confidence: 99%

Coupling matter and curvature in Weyl geometry: conformally invariant $f\left(R,L_m\right)$ gravity

Harko,

Shahidi

2022

Preprint

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We investigate the coupling of matter to geometry in conformal quadratic Weyl gravity, by assuming a coupling term of the form Lm R2 , where Lm is the ordinary matter Lagrangian, and R is the Weyl scalar. The coupling explicitly satisfies the conformal invariance of the theory. By expressing R2 with the help of an auxiliary scalar field and of the Weyl scalar, the gravitational action can be linearized, leading in the Riemann space to a conformally invariant f (R, Lm) type theory, with the matter Lagrangian nonminimally coupled to the Ricci scalar. We obtain the gravitational field equations of the theory, as well as the energy-momentum balance equations. The divergence of the matter energy-momentum tensor does not vanish, and an extra force, depending on the Weyl vector, and matter Lagrangian is generated. The thermodynamic interpretation of the theory is also discussed. The generalized Poisson equation is derived, and the Newtonian limit of the equations of motion is considered in detail. The perihelion precession of a planet in the presence of an extra force is also considered, and constraints on the magnitude of the Weyl vector in the Solar System are obtained from the observational data of Mercury. The cosmological implications of the theory are also considered for the case of a flat, homogeneous and isotropic Friedmann-Lemaitre-Robertson-Walker geometry, and it is shown that the model can give a good description of the observational data for the Hubble function up to a redshift of the order of z ≈ 3.

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Spherically symmetric configuration in f(Q) gravity

Cited by 123 publications

References 50 publications

Nonmetricity theories and aspects of gauge symmetry

Nonmetricity theories and aspects of gauge symmetry

Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity

Coupling matter and curvature in Weyl geometry: conformally invariant $f\left(R,L_m\right)$ gravity

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