Intersecting hypersurfaces in anti-de Sitter and Lovelock gravity

Journal Article · Fri Sep 15 04:00:00 EDT 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2338143· OSTI ID:20860895

Gravanis, Elias; Willison, Steven ^[1]

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1. Department of Physics, Kings College, Strand, London WC2R 2LS (United Kingdom)

Colliding and intersecting hypersurfaces filled with matter (membranes) are studied in the Lovelock higher order curvature theory of gravity. Lovelock terms couple hypersurfaces of different dimensionalities, extending the range of possible intersection configurations. We restrict the study to constant curvature membranes in constant curvature anti-de Sitter (AdS) and dS background and consider their general intersections. This illustrates some key features which make the theory different from the Einstein gravity. Higher co-dimension membranes may lie at the intersection of co-dimension one hypersurfaces in Lovelock gravity; the hypersurfaces are located at the discontinuities of the first derivative of the metric, and they need not carry matter. The example of colliding membranes shows that general solutions can only be supported by (spacelike) matter at the collision surface, thus naturally conflicting with the dominant energy condition (DEC). The imposition of the DEC gives selection rules on the types of collision allowed. When the hypersurfaces do not carry matter, one gets a solitonlike configuration. Then, at the intersection one has a co-dimension two or higher membrane standing alone in AdS-vacuum space-time without conical singularities. Another result is that if the number of intersecting hypersurfaces goes to infinity the limiting space-time is free of curvature singularities if the intersection is put at the boundary of each AdS bulk.

• OSTI ID: 20860895
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 47; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFIGURATION
COSMOLOGY
DE SITTER GROUP
GRAVITATION
MATHEMATICAL SOLUTIONS
MATTER
MEMBRANES
QUANTUM GRAVITY
SELECTION RULES
SINGULARITY
SPACE-TIME