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Conservation laws for colliding branes with induced gravity

机译:重力作用下撞撞黄铜的守恒定律

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摘要

We derive conservation laws for collisions of self-gravitating n-branes (or n-dimensional shells) in an (n + 2) dimensional spacetime including induced gravity on the brane. Previous work has shown how geometrical identities in general relativity enforce conservation of energy-momentum at collisions. The inclusion of induced gravity terms introduces a gravitational self-energy on the brane which permits energy-momentum conservation of matter fields on the brane to be broken, so long as the total energy-momentum, including induced gravity terms, is conserved. We give simple examples with two branes (one ingoing and one outgoing) and three branes.
机译:我们推导了在(n + 2)时空中自重力n形(或n维壳)碰撞的守恒律,其中包括在重力上的感应重力。先前的工作表明,广义相对论中的几何恒等式如何在碰撞时增强能量动量守恒。包含感应引力项会在米糠上引入重力自能,只要保留包括感应引力项的总能量动量,就可以破坏米糠上的物质场的能量动量守恒。我们用两个分支(一个进站和一个输出)和三个分支给出简单的例子。

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