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Generalizations of the Levi-Civita-Bertotti-Robinson spacetime

机译:Levi-Civita-Bertotti-Robinson时空的推广

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摘要

The Levi-Civita-Bertotti-Robinson (LBR) solution of Einstein's field equations may be interpreted to describe spacetime in a region without matter outside a charged spherical domain wall. In the present paper we investigate the physical properties of some solutions of the Einstein-Maxwell equations, and show that they are generalizations of the LBR solution. One represents a spacetime with charged dust outside a charged shell, and another one a spacetime with Lorentz-Invariant Vacuum Energy (LIVE) outside a charged shell. The uniqueness of static, spherically symmetric and conformally flat solutions of the Einstein-Maxwell field equations is also discussed.
机译:爱因斯坦的场方程的Levi-Civita-Bertotti-Robinson(LBR)解可以解释为描述带电球状畴壁外无物质的区域中的时空。在本文中,我们研究了Einstein-Maxwell方程的某些解的物理性质,并证明它们是LBR解的推广。一个代表时空,带电尘埃位于带电壳的外面,另一个代表时空,具有洛伦兹不变真空能(LIVE)位于带电壳的外面。还讨论了爱因斯坦-麦克斯韦场方程的静态,球对称和共形平坦解的唯一性。

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