Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories

By N. Deruelle, T. Doležel. 2000

143 citations recorded by the source corpus.

We first illustrate on a simple example how, in existing brane cosmological models, the connection of a 'bulk' region to its mirror image creates matter on the 'brane'. Next, we present a cosmological model with no $Z_2$ symmetry which is a spherical symmetric 'shell' separating two metrically different 5-dimensional anti-de Sitter regions. We find that our model becomes Friedmannian at late times, like present brane models, but that its early time behaviour is very different: the scale factor grows from a non-zero value at the big bang singularity. We then show how the Israel matching conditions across the membrane (that is either a brane or a shell) have to be modified if more general equations than Einstein's, including a Gauss-Bonnet correction, hold in the bulk, as is likely to be the case in a low energy limit of string theory. We find that the membrane can then no longer be treated in the thin wall approximation. However its microphysics may, in some instances, be simply hidden in a renormalization of Einstein's constant, in which cases Einstein and Gauss-Bonnet membranes are identical.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/195836592def3001f6a44e98802a560064a6e148

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Citations in the corpus

The phenomenology of Dvali–Gabadadze–Porrati cosmologies (2005, methodology): “(3.6) and using the technique developed by Deruelle and Dolezel [29] in a more general context, an explicit change of coordinates may be obtained to go to a canonical five-dimensional Minkowskian metric ds2 = dT 2 − (dX1)2 − (dX2)2 − (dX3)2 − (dY 5)2.”
Brane-World Gravity (2004, background): “The cosmological dynamics of these brane-worlds is investigated in [121, 343, 345, 341, 161, 80, 289, 37, 318, 291, 181, 125, 19, 124, 79, 310].”