“Asymptotically non-minkowskian” bubbles with gravitational repulsion

It is usually assumed that spherical domain walls can be described by the same equation of state as planar domains. In this case, the spherical domain walls should also demonstrate gravitational repulsion, which would contradict the Birkhoff theorem. However, this theorem does not apply to solutions that are not described by Minkowskian geometry at infinity. In the thin-wall formalism, we consider the solution of the Einstein equations that describes a spherical domain wall with gravitational repulsion and which is “asymptotically non-Minkowskian.” Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 113, No. 2, pp. 346–352, November, 1997.