Energy in Fourth Order Gravity
arXiv:2102.00545 · doi:10.1007/s00023-024-01440-3
Abstract
In this paper we make a detailed analysis of conservation principles in the context of a family of fourth-order gravitational theories generated via a quadratic Lagrangian. In particular, we focus on the associated notion of energy and start a program related to its study. We also exhibit examples of solutions which provide intuitions about this notion of energy which allows us to interpret it, and introduce several study cases where its analysis seems tractable. Finally, positive energy theorems are presented in restricted situations.
arXiv comment5 figures Update on the 17/07/22: correcting typos, streamlining the paper, taking into account/answering interesting questions asked to the authors during conferences Update on the 23/01/2024 : correction of typos, modifications suggested by reviewers for publication
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