Energy in Fourth-Order Gravity

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2024-05-07 DOI:10.1007/s00023-024-01440-3

R. Avalos, J. H. Lira, N. Marque

引用次数: 0

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.

Abstract Image

查看原文本刊更多论文

四阶引力中的能量

在本文中，我们详细分析了通过二次拉格朗日产生的四阶引力理论族的守恒原理。我们特别关注相关的能量概念，并启动了与之相关的研究计划。我们还展示了一些解例，这些解例为我们解释能量概念提供了直觉，并介绍了几种对其进行分析似乎比较容易的研究案例。最后，我们还介绍了受限情况下的正能量定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.