Linear stability of Einstein-Gauss-Bonnet static spacetimes: Vector and scalar perturbations

Journal Article · Thu Dec 15 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.124002· OSTI ID:20774523

Gleiser, Reinaldo J; Dotti, Gustavo ^[1]

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1. Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria (5000) Cordoba (Argentina)

We study the stability under linear perturbations of a class of static solutions of Einstein-Gauss-Bonnet gravity in D=n+2 dimensions with spatial slices of the form {sigma}{sub {kappa}}{sup n}xR{sup +}, {sigma}{sub {kappa}}{sup n} an n-manifold of constant curvature {kappa}. Linear perturbations for this class of spacetimes can be generally classified into tensor, vector and scalar types. In a previous paper, tensor perturbations were analyzed. In this paper we study vector and scalar perturbations. We show that vector perturbations can be analyzed in general using an S-deformation approach and do not introduce instabilities. On the other hand, we show by analyzing an explicit example that, contrary to what happens in Einstein gravity, scalar perturbations may lead to instabilities in black holes with spherical horizons when the Gauss-Bonnet string corrections are taken into account.

• OSTI ID: 20774523
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CORRECTIONS
COSMOLOGY
DEFORMATION
DISTURBANCES
EINSTEIN FIELD EQUATIONS
GRAVITATION
INSTABILITY
MATHEMATICAL SOLUTIONS
SCALARS
SPACE-TIME
SPHERICAL CONFIGURATION
STABILITY
VECTORS