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2009

Higher-order brane gravity models

Dabrowski, Mariusz P., Balcerzak, Adam

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We discuss a very general theory of gravity, of which Lagrangian is an arbitrary function of the curvature invariants, on the brane.

In general, the formulation of the junction conditions (except for Euler characteristics such as Gauss-Bonnet term) leads to the powers of the delta function and requires regularization.
We suggest the way to avoid such a problem by imposing the metric and its first derivative to be regular at the brane, the second derivative to have a kink, the third derivative of the metric to have a step function discontinuity, and no sooner as the fourth derivative of the metric to give the delta function contribution to the field equations.
Alternatively, we discuss the reduction of the fourth-order gravity to the second order theory by introducing extra scalar and tensor fields: the scalaron and the tensoron.

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Built on

W. Israel, Nuovo Cimento B44
1966
Earlier work this paper cites.
D. Lovelock, J. Math. Phys. 12
1971
Earlier work this paper cites.
G.W. Gibbons and S.W. Hawking, Phys. Rev. D15
1977
Earlier work this paper cites.
H.H. v. Borzeszkowski and V.P. Frolov, Ann. Phys. (Leipzig) 7
1980
Earlier work this paper cites.
T.S. Bunch, Journ. Phys. A14
1981
Earlier work this paper cites.
S.W. Hawking and J.C. Lutrell, Nucl. Phys. B247
1984
Earlier work this paper cites.
F. Müller-Hoissen, Phys. Lett. B163
1987
Earlier work this paper cites.
A. Jakubiec and J. Kijowski, Phys. Rev. D37
1988
Earlier work this paper cites.
M. Madsen and J.D. Barrow, Nucl. Phys. B323
1989
Earlier work this paper cites.

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