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首页> 外文期刊>Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology >Junction conditions in quadratic gravity: thin shells and double layers
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Junction conditions in quadratic gravity: thin shells and double layers

机译：二次重力的交汇条件：薄壳和双层

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摘要

The junction conditions for the most general gravitational theory with a Lagrangian containing terms quadratic in the curvature are derived. We include the cases with a possible concentration of matter on the joining hypersurface-termed as thin shells, domain walls or braneworlds in the literature-as well as the proper matching conditions where only finite jumps of the energy-momentum tensor are allowed. In the latter case we prove that the matching conditions are more demanding than in general relativity. In the former case, we show that generically the shells/domain walls are of a new kind because they possess, in addition to the standard energy-momentum tensor, a double layer energy-momentum contribution which actually induces an external energy flux vector and an external scalar pressure/tension on the shell. We prove that all these contributions are necessary to make the entire energy-momentum tensor divergence-free, and we present the field equations satisfied by these energy-momentum quantities. The consequences of all these results are briefly analyzed.
机译：推导了最一般的引力理论的连接条件，其中拉格朗日包含曲率为二次项。我们包括了可能在连接的超表面上集中物质的情况（在文献中被称为薄壳，畴壁或braneworld），以及适当的匹配条件，其中仅允许能量动量张量的有限跳变。在后一种情况下，我们证明了匹配条件比广义相对论更苛刻。在前一种情况下，我们表明，壳/畴壁通常是一种新型的壳/畴壁，因为它们除了具有标准的能量动量张量之外，还具有双层能量动量贡献，它实际上引起了外部能量通量矢量和外壳上的外部标量压力/张力。我们证明了所有这些贡献对于使整个能量动量张量无散度是必要的，并且我们提出了这些能量动量所满足的场方程。简要分析所有这些结果的后果。

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