Perturbations of Schwarzschild Black Holes in Chern-Simons Modified Gravity

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dc.creatorYunes, Nicolas
dc.creatorSopuerta, Carlos F.
dc.date2007-12-06
dc.date.accessioned2026-07-07T11:39:13Z
dc.date.available2026-07-07T11:39:13Z
dc.descriptionWe study perturbations of a Schwarzschild black hole in Chern-Simons modified gravity. We begin by showing that Birkhoff's theorem holds for a wide family of Chern-Simons coupling functions, a scalar field present in the theory that controls the strength of the Chern-Simons correction to the Einstein-Hilbert action. After decomposing the perturbations in spherical harmonics, we study the linearized modified field equations and find that axial and polar modes are coupled, in contrast to general relativity. The divergence of the modified equations leads to the Pontryagin constraint, which forces the vanishing of the Cunningham-Price-Moncrief master function associated with axial modes. We analyze the structure of these equations and find that the appearance of the Pontryagin constraint yields an overconstrained system that does not allow for generic black hole oscillations. We illustrate this situation by studying the case characterized by a canonical choice of the coupling function and pure-parity perturbative modes. We end with a discussion of how to extend Chern-Simons modified gravity to bypass the Pontryagin constraint and the suppression of perturbations.
dc.description14 pages, submitted to PRD
dc.identifierhttps://arxiv.org/abs/0712.1028
dc.identifierhttp://arxiv.org/abs/0712.1028
dc.identifierPhys.Rev.D77:064007,2008
dc.identifierdoi:10.1103/PhysRevD.77.064007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199836
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titlePerturbations of Schwarzschild Black Holes in Chern-Simons Modified Gravity
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