General brane cosmologies and their global spacetime structure

By P. Bowcock, C. Charmousis, R. Gregory. 2000

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Starting from a completely general standpoint, we find the most general brane-universe solutions for a 3-brane in a five-dimensional spacetime. The brane can border regions of spacetime with or without a cosmological constant. Making no assumptions other than the usual cosmological symmetries of the metric, we prove that the equations of motion form an integrable system, and find the exact solution. The cosmology is indeed a boundary of a (class II) Schwarzschild-AdS spacetime, or a Minkowski (class I) spacetime. We analyse the various cosmological trajectories focusing particularly on those bordering vacuum spacetimes. We find, not surprisingly, that not all cosmologies are compatible with an asymptotically flat spacetime branch. We comment on the role of the radion in this picture.

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

View Paper: https://www.semanticscholar.org/paper/120ada285ad6c2ecb360df4da2233ab33a7b3181

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Citations in the corpus

Black holes as bubble nucleation sites (2013, methodology): “ed earlier (3.7), and as usual with spherically symmetric metrics, the timeindependence of the functions f (r) is a consequence of the constraint equations and independent of the wall trajectory. See [21] for a fuller discussion of this generalisation of Birkho’s theorem, although note the caveats o”
Modified Gravity and Cosmology (2011, methodology): “We will review the background dynamics [159, 178] before moving on to cosmological perturbation theory [716, 1244].”
Brane-World Gravity (2004, methodology): “The FRW brane moves radially along the 5th dimension, with R = a(T ), where a is the FRW scale factor, and the junction conditions determine the velocity via the Friedmann equation for a [336, 45].”
Lectures on string/brane cosmology (2002, background): “First we describe some of the interesting results coming out of a treatment of brane cosmology in the simple setting of 4D brane worlds moving in a 5D bulk [6, 7, 22, 23, 24, 25, 26, 27].”