Graviton Emission into Non-Z_2 Symmetric Brane World Spacetimes

Abstract

The equations for the evolution of a homogeneous brane world that emits gravitons at early times, and into a non-Z_2 symmetric bulk, are derived using an AdS-Vaidya spacetime approximation. The behaviour of the black hole mass parameters either side of the brane is analysed, and it is found that in general graviton emission leads to a decrease in the non-Z_2 symmetry. However, the behaviour of the dark radiation term in the Friedmann equation is more complex: it is shown that this term can increase or decrease due to the non-Z_2 symmetry, and can become negative in some cases, leading to H=0 and the brane universe collapsing. Constraints on the initial (nonzero) sizes of the mass parameters are therefore derived.

24 pages, 12 figures; notation clarified and one reference added

References in corpus (2)

• Asymmetric radiating brane-world
• Bulk black holes radiating in non-Z_2 brane-world spacetimes

Cited by in corpus (7)

• Braneworld gravitational collapse from a radiative bulk
• Eötvös branes
• Bulk black holes radiating in non-Z_2 brane-world spacetimes
• Brane cosmology, Weyl fluid, and density perturbations
• Graviton emission from a Gauss-Bonnet brane
• High-energy effective theory for a bulk brane
• High-energy effective theory for orbifold branes