2021/03/31 by J. S. Santos, Joelma Sales Dos SANTOS, M. B. Cruz +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Cosmology and Gravitation Theories #Coupling (piping) #Geometry #Materials science #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Spacetime #WKB approximation #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-021-09884-1
15 pages, 2 tables and 8 figures. arXiv admin note: text overlap with arXiv:2005.02208
openalex created_date 2021/03/29 · arxiv created 2021/07/19 · openalex publication_date 2021/12/01 · arxiv updated 2021/12/22 · openalex updated_date 2026/08/05
Abstract In this work, we investigate the quasinormal modes for a massive scalar field with a nonminimal coupling with gravity in the spacetime of a loop quantum black hole, known as the self-dual black hole. In this way, we have calculated the characteristic frequencies using the 3rd order WKB approach, where we can verify a strong dependence with the mass of scalar field, the parameter of nonminimal coupling with gravity, and parameters of the loop quantum gravity. From our results, we can check that the self-dual black hole is stable under the scalar perturbations when assuming small values for the parameters. Also, such results tell us that the quasinormal modes assume different values for the cases where the mass of field is null and the nonminimal coupling assumes ξ =0 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>ξ</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math> and ξ =1/6 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>ξ</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>6</mml:mn> </mml:mrow> </mml:math> , i.e., a possible breaking of the conformal invariance can be seen in the context of loop quantum black holes.