Regularized Lovelock gravity

Casalino, Alessandro; Colléaux, Aimeric; Rinaldi, Massimiliano; Vicentini, Silvia

doi:10.1016/j.dark.2020.100770

Cited by 51 publications

(56 citation statements)

References 41 publications

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“…Recently, a trick has been proposed to circumvent this limitation [2,3]. (See also [4,5] for earlier works.)…”

Section: Introductionmentioning

confidence: 99%

Effective scalar-tensor description of regularized Lovelock gravity in four dimensions

Kobayashi

2020

Preprint

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We reformulate the recently proposed regularized version of Lovelock gravity in four dimensions as a scalar-tensor theory. By promoting the warp factor of the internal space to a scalar degree of freedom, we show that regularized Lovelock gravity is effectively described by a particular subclass of the Horndeski theory. Cosmological aspects of regularized Einstein-Gauss-Bonnet gravity are studied based on this scalar-tensor reformulation. It is found that the background with a scalar charge is generically allowed. The consequences of this scalar charge is briefly discussed.

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“…Recently, a trick has been proposed to circumvent this limitation [2,3]. (See also [4,5] for earlier works.)…”

Section: Introductionmentioning

confidence: 99%

Effective scalar-tensor description of regularized Lovelock gravity in four dimensions

Kobayashi

2020

Preprint

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“…However, it is interesting to note that the spherically symmetric 4D solutions still remain valid in these regularized theories [43]. In fact, the black hole solutions via rescaling procedure [7] still remains valid in these regularized theories [73,77]. Thus it turns out that the spher-ically symmetric solution obtained using any of these regularization methods will be the same form as the original theory.…”

Section: Basic Construction Of Charged Stellar Model In 4 D Egb Gravitymentioning

confidence: 97%

Charged stars in 4D Einstein–Gauss–Bonnet gravity

2021

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An alternative gravity theory that has attracted considerable attention recently is the novel four-dimensional Einstein–Gauss–Bonnet (4EGB) gravity. This idea was proposed to bypass the Lovelock’s theorem and to permit nontrivial higher curvature effects on the four-dimensional local gravity. In this approach, the Gauss–Bonnet (GB) coupling constant $$\alpha $$ α is rescaled by a factor of $$\alpha /(D -4)$$ α / ( D - 4 ) in D dimensions and taking the limit $$D \rightarrow 4$$ D → 4 . In this article, we analyze the effects of charge on static compact stars in the regularized 4D EGB gravity theory. Two classes of new exact solutions are found for a particular choice of the gravitational potential and assuming a relationship between the electric field intensity and the spatial potential. A graphical analysis indicates that the matter and electromagnetic variables are well behaved for specific values of the parameter space. Finally, based on physical grounds appropriate bounds on the model parameters we show that compact objects with the value of adiabatic index $$\gamma $$ γ is consistent with expectations.

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“…Previously, solutions for Wormhole in 4-D EGB theory are obtained by using various regularization methods getting exactly same 4D spherical solutions [13,63,[74][75][76][77][78].…”

Section: The Egb Modelmentioning

confidence: 99%

Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity

Mishra¹,

Shweta²,

Sharma³

2021

Preprint

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In the present paper, we investigate wormholes in 4D-Einstein-Gauss-Bonnet gravity without the requirement of exotic matters. We have taken the radial dependent redshift function φ = ln r 0 r + 1 and shape function b(r) = r 0 ln(r+1) ln(r 0 +1) as well as anisotropic matter sources through equation of state (EoS) p r (r) = ωρ(r). We examine the energy conditions, flaring out condition, throat condition and anisotropic parameter. The volume integral quantifier is also analyzed to validate the existence and stability of the WH solution. We find, for -ve branch wormhole solutions satisfy the null energy conditions (NEC) throughout the entire space time and +ve branch reduces exactly to Morris-Thorne of GR.

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Regularized Lovelock gravity

Cited by 51 publications

References 41 publications

Effective scalar-tensor description of regularized Lovelock gravity in four dimensions

Effective scalar-tensor description of regularized Lovelock gravity in four dimensions

Charged stars in 4D Einstein–Gauss–Bonnet gravity

Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity

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