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Keywords:

  • Higher-order gravities;
  • Israel junction conditions;
  • brane universes;
  • boundary terms.

Abstract

We discuss a general fourth-order theory of gravity and formulate the generalized Israel junction conditions for the theory by application of a generalized Gibbons-Hawking boundary term which is added to the action of the fourth-order gravity theory. Next, we use the generalized Israel junction condition for the construction of a higher-order gravity braneworld model.