J 2020

Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity

KONOPLYA, Roman and Antonina Frantsivna ZINHAILO

Basic information

Original name

Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity

Authors

KONOPLYA, Roman (804 Ukraine, belonging to the institution) and Antonina Frantsivna ZINHAILO (804 Ukraine, belonging to the institution)

Edition

European Physical Journal C, 2020, 1434-6044

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10303 Particles and field physics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19630/20:A0000008

Organization unit

Institute of physics in Opava

UT WoS

000593720200003

Keywords in English

SYMMETRICAL-SOLUTIONS; MASTER-EQUATIONS; PERTURBATIONS; TENSOR

Tags

International impact, Reviewed

Links

GA19-03950S, research and development project.
Změněno: 31/3/2022 10:31, Mgr. Pavlína Jalůvková

Abstract

V originále

Recently a D-dimensional regularization approach leading to the non-trivial (3 + 1)-dimensional Einstein-Gauss-Bonnet (EGB) effective description of gravity was formulated which was claimed to bypass the Lovelock's theorem and avoid Ostrogradsky instability. Later it was shown that the regularization is possible only for some broad, but limited, class of metrics and Aoki et al. (arXiv:2005.03859) formulated a well-defined four-dimensional EGB theory, which breaks the Lorentz invariance in a theoretically consistent and observationally viable way. The black-hole solution of the first naive approach proved out to be also the exact solution of the well-defined theory. Here we calculate quasi-normal modes of scalar, electromagnetic and gravitational perturbations and find the radius of shadow for spherically symmetric and asymptotically flat black holes with Gauss-Bonnet corrections. We show that the black hole is gravitationally stable when (-16M(2) < alpha less than or similar to 0.6M(2)). The instability in the outer range is the eikonal one and it develops at high multipole numbers. The radius of the shadow R-Sh obeys the linear law with a remarkable accuracy.