Gibbons-Hawking Boundary Terms and Junction Conditions for Higher-Order Brane Gravity Models

Abstract

We derive the most general junction conditions for the fourth-order brane gravity constructed of arbitrary functions of curvature invariants. We reduce these fourth-order theories to second order theories at the expense of introducing new scalar and tensor fields - the scalaron and the tensoron. In order to obtain junction conditions we apply the method of generalized Gibbons-Hawking boundary terms which are appended to the appropriate actions. After assuming the continuity of the scalaron and the tensoron on the brane, we recover junction conditions for such general brane universe models previously obtained by different methods. The derived junction conditions can serve studying the cosmological implications of the higher-order brane gravity models.

REVTEX4, 6 pages, no figures, version to match a JCAP accepted paper

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Cited by in corpus (14)

• f(R) theories
• Pure geometric thick $f(R)$-branes: stability and localization of gravity
• Higher-order theories of gravity: diagnosis, extraction and reformulation via non-metric extra degrees of freedom
• Effective gravitational equations for f(R) braneworld models
• Five-Dimensional f(R) Braneworld Models
• Brane f(R) gravity cosmologies
• Equations for general shells
• Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes
• Tensor Perturbations and Thick Branes in Higher-dimensional $f(R)$ Gravity
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Randall-Sundrum limit of f(R) brane-world models
• Effective cosmological equations of induced f(R) gravity
• The fate of boundary terms in dimensional reductions
• Junction conditions for higher order gravity theories from a Gibbons-Hawking-York boundary term