Self-properties of codimension-2 braneworlds

Abstract

We consider four-dimensional de Sitter, flat and anti de Sitter branes embedded in a six-dimensional bulk spacetime whose dynamics is dictated by Lovelock theory. We find, applying a generalised version of Birkhoff's theorem, that all possible maximally symmetric braneworld solutions are embedded in Wick-rotated black hole spacetimes of Lovelock theory. These are warped solitonic spaces, where the horizons of the black hole geometries correspond to the possible positions of codimension-2 branes. The horizon temperature is related via conical singularities to the tension or vacuum energy of the branes. We classify the braneworld solutions for certain combinations of bulk parameters, according to their induced curvature, their vacuum energy and their effective compactness in the extra dimensions. The bulk Lovelock theory gives an induced gravity term on the brane, which, we argue, generates four-dimensional gravity up to some distance scale. As a result, some simple solutions, such as the Lovelock corrected Schwarzschild black hole in six dimensions, are shown to give rise to self-accelerating braneworlds. We also find that several other solutions have self-tuning properties. Finally, we present regular gravitational instantons of Lovelock gravity and comment on their significance.

38 pages, 7 figures, journal version

Cited by in corpus (19)

• Modified Gravity and Cosmology
• Brane-World Gravity
• Testing General Relativity in Cosmology
• Bi-galileon theory I: motivation and formulation
• Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography
• Multi-galileons, solitons and Derrick's theorem
• Bi-galileon theory II: phenomenology
• Einstein-Gauss-Bonnet metrics: black holes, black strings and a staticity theorem
• Holographic self-tuning of the cosmological constant
• Beyond Fab Four
• Lovelock solutions in the presence of matter sources
• The consistency of codimension-2 braneworlds and their cosmology
• Mimicking general relativity in the solar system
• Codimension-2 brane inflation
• Properties of codimension-2 braneworlds in six-dimensional Lovelock theory
• UV caps, IR modification of gravity, and recovery of 4D gravity in regularized braneworlds
• Self-gravitating branes again
• Codimension-2 black hole solutions on a thin 3-brane and their extension into the bulk
• Conical singularities regularized in warped six-dimensional flux compactification and their induced brane cosmology