Kasner eons in Lovelock black holes
Year: 2024
Type: article
Abstract: In the vicinity of spacelike singularities, general relativity predicts that the metric behaves, at each point, as a Kasner space which undergoes a series of “Kasner epochs” and “eras” characterized by certain transition rules. The period during which this process takes place defines a “Kasner eon,” which comes to an end when higher-curvature or quantum effects become relevant. When higher-curvature densities are included in the action, spacetime can undergo transitions into additional Kasner eons. During each eon, the metric behaves locally as a Kasner solution to the higher-curvature density controlling the dynamics. In this paper we identify the presence of Kasner eons in the interior of static and spherically symmetric Lovelock gravity black holes. We determine the conditions under which eons occur and study the Kasner metrics which characterize them, as well as the transitions between them. We show that the null energy condition implies a monotonicity property for the effective Kasner exponent at the end of the Einsteinian eon. We also characterize the Kasner solutions of more general higher-curvature theories of gravity. In particular, we observe that the Einstein gravity condition that the sum of the Kasner exponents adds up to 1, ∑ i = 1 D − 1 p i = 1 , admits a universal generalization in the form of a family of Kasner metrics satisfying ∑ i = 1 D − 1 p i = 2 n − 1 which exists for any order- n higher-curvature density and in general dimensions. Published by the American Physical Society 2024
Institution: Universitat de Barcelona
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funders: “la Caixa” Foundation, European Commission, China Scholarship Council, Ministerio de Ciencia e Innovación, Fundación Bancaria Caixa d'Estalvis i Pensions de Barcelona, Horizon 2020 Framework Programme, European Regional Development Fund, Agencia Estatal de Investigación, H2020 Marie Skłodowska-Curie Actions
Awards: G1255325603, G1456475170, Junior Leader la Caixa Postdoctoral Fellowship Programme: Shaping the new generation of leaders in research, G1855990336, G2262748287, G2290189609, G2525577871, G2585926585, G3480869486, G3681454997, Junior Leader la Caixa Postdoctoral Fellowship Programme: Shaping the new generation of leaders in research, G4042783231, G425668148, G434337789, G4493332189, G4691964718, G4944594896, G4993383890, G5132640529, G5421974903, G586857820, G7525315620, G7685134749, G7731791180, G8920660035
OpenAlex ID: W4405108263