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arXiv · 2102.00545

Energy in Fourth Order Gravity

Rodrigo Avalos·Jorge H. Lira·Nicolas Marque
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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.

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Rodrigo Avalos, Jorge H. Lira, Nicolas Marque. 2021-01-31. Energy in Fourth Order Gravity. https://doi.org/10.1007/s00023-024-01440-3

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