600,782 research outputs found
Horizon Entropy in Modified Gravity
We present an observation about the proposal that four-dimensional
modification of general relativity may explain the observed cosmic acceleration
today. Assuming that the thermodynamical nature of gravity theory continues to
hold in modified gravity theories, we derive the modified horizon entropy
formula from the modified Friedmann equation. We argue that our results imply
that there are conceptual problems in some models of four-dimensional
modification of general relativity.Comment: 8 pages. v2: references adde
Conformal Gravity from AdS/CFT mechanism
We explicitly calculate the induced gravity theory at the boundary of an
asymptotically Anti-de Sitter five dimensional Einstein gravity. We also
display the action that encodes the dynamics of radial diffeomorphisms. It is
found that the induced theory is a four dimensional conformal gravity plus a
scalar field. This calculation confirms some previous results found by a
different approach.Comment: Revtex 8 pages, To be published in Phys. Rev.
Scalar-Tensor Gravity in Two 3-brane System
We derive the low-energy effective action of four-dimensional gravity in the
Randall-Sundrum scenario in which two 3-branes of opposite tension reside in a
five-dimensional spacetime. The dimensional reduction with the Ansatz for the
radion field by Charmousis et al., which solves five-dimensional linearized
field equations, results in a class of scalar-tensor gravity theories. In the
limit of vanishing radion fluctuations, the effective action reduces to the
Brans-Dicke gravity in accord with the results of Garriga and Tanaka:
Brans-Dicke gravity with the corresponding Brans-Dicke parameter (for positive tension brane) and (for negative
tension brane). In general the gravity induced a brane belongs to a class of
scalar-tensor gravity with the Brans-Dicke parameter which is a function of the
interval and the radion. In particular, gravity on a positive tension brane
contains an attractor mechanism toward the Einstein gravity.Comment: 8 pages, discussion expanded, references adde
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