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

By Tsutomu Kobayashi. Journal of Cosmology and Astroparticle Physics, 2020

164 citations recorded by the source corpus.

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 by means of Kaluza-Klein reduction, we show that regularized Lovelock gravity can be described effectively by a certain subclass of the Horndeski theory. Cosmological aspects of this particular scalar-tensor theory are studied. It is found that the background with a scalar charge is generically allowed. The consequences of this scalar charge are briefly discussed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/57ffc7f42b7d263468d08c06d8c71c97cffcd757

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Citations in the corpus

Innermost stable circular orbit and shadow of the 4D Einstein–Gauss–Bonnet black hole (2020, methodology): “For example, [16, 17] considered using the Kaluza-Klein approach of the D → 4 limit to obtain a well-defined theory that belongs to the Horndeski class [18].”
A note on the novel 4D Einstein–Gauss–Bonnet gravity (2020, background): “Indeed the effective 4D Einstein-Gauss-Bonnet theory can be reformulated as a scalar-tensor theory [67, 68] in which an extra scalar field appears.”
The 4D Einstein–Gauss–Bonnet theory of gravity: a review (2022, methodology): “These have resulted in novel scalar–tensor theories either via a conformal regularization [203, 204] (first applied in reference [58] in two-dimensions), or via a regularized Kaluza–Klein reduction [201, 202].”
Rotating black holes in 4D Einstein-Gauss-Bonnet gravity and its shadow (2020, methodology): “In particular, using the Kaluza-Klein dimensional reduction procedure [60], the D → 4 limit of regularized EGB gravity is effectively described as a particular subclass of scalar-tensor theories within the Horndeski family [58, 59].”
Derivation of regularized field equations for the Einstein-Gauss-Bonnet theory in four dimensions (2020, methodology): “[10, 11] that the cosmological and black hole solutions found in the original paper on novel 4DEGB gravity [9] are also solutions of the field equations derived from the action (27).”