Gravitational energy in quadratic-curvature gravities.
Gravitational energy in quadratic-curvature gravities.
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DOI：
10.1103/physrevlett.89.101101
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发表时间：
2002-05
影响因子：
8.6
通讯作者：
S. Deser;B. Tekin
中科院分区：
文献类型：
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作者：
S. Deser;B. Tekin
我们定义了能量(E)，并计算了包含二次曲率项的引力系统的能量值。无论是概念上还是具体上，都与爱因斯坦的理论有很大的不同。当D=4时，所有纯二次模型都承认具有任意Lambda的常曲率真空，且E是“宇宙学”abbot - deser （AD）表达式；相反，E总是在平坦（Lambda=0）背景中消失。对于没有显式λ项真空的组合爱因斯坦二次曲率系统必须是平坦空间，并且E具有通常的Arnowitt-Deser-Misner形式。一个λ项力唯一的德西特真空，E是爱因斯坦贡献的和AD形式的二次部分。讨论了高曲率项和高维项对能量定义的影响。
We define energy (E) and compute its values for gravitational systems involving terms quadratic in curvature. There are significant differences, both conceptually and concretely, from Einstein theory. For D=4, all purely quadratic models admit constant curvature vacua with arbitrary Lambda, and E is the "cosmological" Abbott-Deser (AD) expression; instead, E always vanishes in flat, Lambda=0, background. For combined Einstein-quadratic curvature systems without explicit Lambda-term vacuum must be flat space, and E has the usual Arnowitt-Deser-Misner form. A Lambda-term forces unique de Sitter vacuum, with E the sum of contributions from Einstein and quadratic parts to the AD form. We also discuss the effects on energy definition of higher curvature terms and of higher dimension.