Generalized Israel junction conditions for a Gauss-Bonnet brane world

By S. C. Davis. 2002

324 citations recorded by the source corpus.

In spacetimes of dimension greater than four it is natural to consider higher order (in R) corrections to the Einstein equations. In this letter generalized Israel junction conditions for a membrane in such a theory are derived. This is achieved by generalising the Gibbons-Hawking boundary term. The junction conditions are applied to simple brane world models, and are compared to the many contradictory results in the literature.

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

View Paper: https://www.semanticscholar.org/paper/1523785b18b86cf248d65be159c9fb94f07e1b8b

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Citations in the corpus

The Lovelock Black Holes (2008, background): “In section 5, we discuss the role of boundary terms [30] and the junction conditions these yield [ 31 , 33, 32].”
Action growth for AdS black holes (2016, methodology): “Using the Gauss-Codazzi equations [37], we can get”
Modified Gravity and Cosmology (2011, methodology): “(860), we find that the Hubble parameter, H = ȧ/a, obeys [270] (see also [363, 272, 557, 851, 718])”
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].”