Kiselev and Schwarzschild–de Sitter black holes in higher derivative theories of gravitation

Jerzy Matyjasek and Małgorzata Telecka
Phys. Rev. D 107, 064058 – Published 28 March 2023

Abstract

We consider the influence of the higher-order correction to the gravitational action inspired by the Goroff-Sagnotti term upon the Kiselev black hole with ω˜=2/3 and contrast the thus obtained results with the analogous results obtained for the Schwarzschild–de Sitter black hole. Expressing the perturbed solution in terms of the exact radius of the event horizon and the radius of the cosmological horizon of the unperturbed black hole we calculate corrections to the line element, to the cosmological horizon, and to the surface gravity. It is shown that although in both cases the lukewarm configuration does not exist classically (the equality of the surface gravities is possible only for the merged horizons), the sixth-order term removes the degeneracy of the classical solution and simultaneously shifts the degenerate horizon to a new place in the space of parameters. The lukewarm configuration is characterized by the value of the parameters that classically characterize the extremal solution. It is shown that the Karlhede scalar still may serve as the detector of the event and the cosmological horizon. Finally, we study the complex frequencies of the low-lying fundamental modes of the quasinormal oscillations and argue that they are the best candidates (at least theoretically) to distinguish between different black hole configurations.

  • Received 6 January 2023
  • Accepted 27 February 2023

DOI:https://doi.org/10.1103/PhysRevD.107.064058

© 2023 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Jerzy Matyjasek1,* and Małgorzata Telecka2

  • 1Institute of Physics, Maria Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, 20-031 Lublin, Poland
  • 2Faculty of Earth Sciences and Spatial Management, Maria Curie-Skłodowska University, Al. Kraśnicka 2cd, 20-031 Lublin, Poland

  • *jurek@kft.umcs.lublin.pl; malgorzata.telecka@mail.umcs.pl

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Issue

Vol. 107, Iss. 6 — 15 March 2023

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