Cosmology on a Brane in Minkowski Bulk

By Cedric Deffayet. 2000

726 citations recorded by the source corpus.

Abstract We discuss the cosmology of a 3-brane embedded in a 5D bulk space–time with a cosmological constant when an intrinsic curvature Ricci scalar is included in the brane action. After deriving the ‘brane-Friedmann’ equations for a Z 2 symmetrical metric, we focus on the case of a Minkowski bulk. We show that there exist two classes of solutions, close to the usual Friedmann–Lemaitre–Robertson–Walker cosmology for small enough Hubble radii. When the Hubble radius gets larger one either has a transition to a fully 5D regime or to a self-inflationary solution which produces a late accelerated expansion. We also compare our results with a perturbative approach and eventually discuss the embedding of the brane into the Minkowski space–time. This latter part of our discussion also applies when no intrinsic curvature term is included.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ec450020741d4d450e70aeec5f5fd55f5b3a0200

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Citations in the corpus

Modified Gravity and Cosmology (2011, methodology): “Let us now look at the perturbed FLRW universe in DGP. Perturbation theory for DGP was originally worked out in detail by Deffayet [395], and has since been developed by a number of authors.”
Bi-galileon theory I: motivation and formulation (2010, background): “The latter generated plenty of interest since it gave rise to cosmic acceleration without the need for dark energy [34, 35].”
D‐branes in Standard Model building, gravity and cosmology (2003, background): “2 How Brane-induced gravity affects the cosmological evolution The Friedman equations for the RS cosmology, [38]-[40], as modified by the induced Einstein term, were derived in [211, 212].”
The phenomenology of Dvali–Gabadadze–Porrati cosmologies (2005, background): “Indeed, as a stark and straightforward exercise, we may ask the question in DGP gravity, does a cosmic string attract a static test particle or not in the limit?”
Imperfect Dark Energy from Kinetic Gravity Braiding (2010, neutral): “It is useful to compare this equation with the Friedmann equation arising in the DGP scenario [53, 54].”
Equivalence Principle Implications of Modified Gravity Models (2009, background): “The other involves giving the graviton a mass or a resonance width, the most well known example of which is the Dvali-Gabadadze-Porrati (DGP) braneworld model [5, 6].”