Dilaton invading from infinitesimal extra dimension

Matsumoto, Minoru; Nakayama, Yu

doi:10.48550/arxiv.2202.13533

Cited by 2 publications

(3 citation statements)

References 21 publications

(35 reference statements)

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“…However, this proposal poses several issues as it requires a specific compactification to be consistently formulated. In a general compactification, the extra degrees of freedom of the metric manifest as extra fields, and assumptions must be made regarding their dependence on the extra dimensions as we move to d = 4 [13][14][15][16][17]. For example, in compact extra dimensions, a harmonic expansion generates an infinite tower of Kaluza-Klein modes that must be taken into account.…”

Section: Introductionmentioning

confidence: 99%

4D Einstein Gauss-Bonnet Gravity without a Dilaton

Coriano,

Creti,

Lionetti

et al. 2023

Proceedings of Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2022)

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A nonlocal version of Einstein-Gauss Bonnet (EGB) gravity can be generated by a procedure that follows closely the steps of the derivation of the conformal anomaly effective action. The action is obtained using a Weyl decomposition of the metric, with the conformal factor removed by a finite renormalization of the topological term. We outline the mains steps in the derivation of this action, stressing on the analogies and differences respect to the anomaly action and to the ordinary 4d EGB theory formulated as a special version of dilaton gravity. These formulations allow a systematic investigation of the nonlocal R −1 corrections to General Relativity. In the case of conformal anomaly action they are motivated by the generation of a conformal backreaction, due to the breaking of conformal symmetry in the early universe.

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Section: Introductionmentioning

confidence: 99%

4D Einstein Gauss-Bonnet Gravity without a Dilaton

Coriano,

Creti,

Lionetti

et al. 2023

Proceedings of Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2022)

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“…During the completion of this paper,[34] appeared where the authors considered the regularized KK reduction of Lovelock gravity with flat internal space by analytically continuing the previous results of[35], and showed that the resulting actions are dilaton effective actions.…”

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confidence: 99%

“…Acknowledgements We would like to acknowledge the xAct [38] and xTras [39] packages which were used in various tensorial computations. We thank Y. Nakayama for bringing their work [34] to our attention.…”

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confidence: 99%

Lower-dimensional Limits of Cubic Lovelock Gravity

Alkaç¹,

Özen²,

Suer³

2022

Preprint

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In this paper, we obtain the lower-dimensional limits ( = 2, 3, 4, 5, 6) of cubic Lovelock gravity through a regularized Kaluza-Klein reduction. By taking a flat internal space for simplicity, we also study the static black hole solutions in the resulting theories. We show that the solutions match with the ones obtained from the "naive limit" of -dimensional equation for the metric function, which is obtained by first scaling the relevant couplings by a factor of 1 − and then taking the limit → , with one important exception: In 4D, one obtains the expected solution only for the black hole with a planar horizon.References 15

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Dilaton invading from infinitesimal extra dimension

Cited by 2 publications

References 21 publications

4D Einstein Gauss-Bonnet Gravity without a Dilaton

4D Einstein Gauss-Bonnet Gravity without a Dilaton

Lower-dimensional Limits of Cubic Lovelock Gravity

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