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Regge–Wheeler and Zerilli equations within a modified theory of general relativity
Author(s) -
Hess Peter O.,
LópezMoreno Enrique
Publication year - 2019
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.201913567
Subject(s) - physics , general relativity , interpretation (philosophy) , metric (unit) , gravitational wave , term (time) , two body problem in general relativity , schwarzschild radius , theory of relativity , gravitation , polar , classical mechanics , schwarzschild metric , numerical relativity , mathematical physics , theoretical physics , quantum mechanics , introduction to the mathematics of general relativity , operations management , computer science , economics , programming language
An r ‐dependent term is added to the metric for the study of extensions of the Theory of General Relativity (GR). The stability of the Schwarzschild solution is investigated with and without the presence of this additional term. Polar (Zerilli) and axial (Regge–Wheeler) modes are studied and the differences discussed. The main conclusion is that, with an r ‐dependent term in the metric, the axial and polar modes remain stable. Assuming that GR describes the data of the gravitational wave events, in the modified theory, axial modes involve larger masses, which might change the interpretation of the source of the gravitational wave events observed.