Low energy effective gravitational equations on a Gauss-Bonnet brane

Journal Article · Wed Nov 15 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.104031· OSTI ID:20864139

Kobayashi, Tsutomu; Shiromizu, Tetsuya ^[1]; Deruelle, Nathalie ^[2]

---

1. Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)
2. Institut des Hautes Etudes Scientifiques, 35 Route de Chartres, 91440, Bures-sur-Yvette (France)

We present effective gravitational equations at low energies in a Z{sub 2}-symmetric braneworld with the Gauss-Bonnet term. Our derivation is based on the geometrical projection approach, and we solve iteratively the bulk geometry using the gradient expansion scheme. Although the original field equations are quite complicated due to the presence of the Gauss-Bonnet term, our final result clearly has the form of the Einstein equations plus correction terms, which is simple enough to handle. As an application, we consider homogeneous and isotropic cosmology on the brane. We also comment on the holographic interpretation of bulk gravity in the Gauss-Bonnet braneworld.

• OSTI ID: 20864139
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
COSMOLOGY
EINSTEIN FIELD EQUATIONS
EXPANSION
GEOMETRY
GRAVITATION
MEMBRANES
QUANTUM FIELD THEORY