Quasinormal modes as a distinguisher between general relativity and f(R) gravity: charged black-holes

The ring-down phase of black-hole perturbations is governed by the quasi-normal modes (QNM) and offer valuable insight into the nature of the objects emitting them, raising an interesting question: whether QNMs can be used to distinguish between theories of gravity? We construct a consistency test o...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2018-09, Vol.78 (9), p.1-14, Article 737
Main Authors: Bhattacharyya, Soham, Shankaranarayanan, S.
Format: Article
Language:English
Subjects:
Analysis
Astronomy
Astrophysics and Cosmology
Black holes
Consistency tests
Elementary Particles
Gravitation
Gravity (Force)
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Relativity
String Theory
Theory of relativity
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Summary:The ring-down phase of black-hole perturbations is governed by the quasi-normal modes (QNM) and offer valuable insight into the nature of the objects emitting them, raising an interesting question: whether QNMs can be used to distinguish between theories of gravity? We construct a consistency test of general relativity (GR) which enables one to distinguish between general relativity and a specific class of modified theories of gravity: f ( R ). We show that an energetic inequality between scalar (polar) and vector (axial) type gravitational perturbations will exist for Reissner–Nördstrom solutions of GR - using which we find a novel method of determining the charge of a non-spinning black hole in GR. We then show that there will be a further energetic difference for charged black holes in f ( R ). Finally, we utilize this extra difference to construct a parameter to quantify deviation from GR.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-018-6222-1