Birkhoff-like theorem for rotating stars in 2 1 dimensions - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: Consider a rotating and possibly pulsating -star- in 2+1 dimensions. If thestar is axially symmetric, then in the vacuum region surrounding the star, aregion that we assume at most contains a cosmological constant, the Einsteinequations imply that under physically plausible conditions the geometry is infact stationary. Furthermore, the geometry external to the star is thenuniquely guaranteed to be the 2+1 dimensional analogue of the Kerr-de Sitterspacetime, the BTZ geometry. This Birkhoff-like theorem is very special to2+1 dimensions, and fails in 3+1 dimensions. Effectively, this is a -nohair- theorem for 2+1 dimensional axially symmetric stars: the exteriorgeometry is completely specified by the mass, angular momentum, andcosmological constant.



Author: Jozef Skakala Victoria University of Wellington, Matt Visser Victoria University of Wellington

Source: https://arxiv.org/







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