Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe

By E. Gravanis, S. Willison. 2002

141 citations recorded by the source corpus.

Abstract Assuming an Einstein–Gauss–Bonnet theory of gravitation in a ( D ⩾5)-dimensional spacetime with boundary, we consider the problem of the boundary dynamics given the matter Lagrangian on it. The resulting equation is applied, in particular, on the derivation of the Friedmann equation of a 3-brane, understood as the non-orientable boundary of a 5d spacetime. We briefly discuss the contradictory conclusions of the literature.

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

View Paper: https://www.semanticscholar.org/paper/e790002535f04088f95eda954d4793b238bced64

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. T. Clifton
2. Pedro G. Ferreira
3. Tim Clunan
4. Antonio Padilla
5. S. Ross
6. Douglas J. Smith
7. C. Skordis
8. Lavinia Heisenberg

In Nuclear and High Energy Physics

1. T. Clifton
2. Tim Clunan
3. Antonio Padilla
4. S. Ross
5. Pedro G. Ferreira
6. Douglas J. Smith
7. C. Skordis
8. Lavinia Heisenberg

In Statistical and Nonlinear Physics

1. Tim Clunan
2. Antonio Padilla
3. S. Ross
4. T. Clifton
5. Pedro G. Ferreira
6. Douglas J. Smith
7. C. Skordis
8. V. Hubeny

Citations in the corpus

• Modified Gravity and Cosmology (2011, methodology): “with the boundary conditions at the brane given by the “DGW” junction conditions [363, 553] (see also [409]),”
• On Gauss-Bonnet black hole entropy (2004, background): “1 Introduction There has recently been considerable interest in the study of higher-curvature corrections to the Einstein-Hilbert action, particularly in the context of brane worlds [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15].”