A Gauss type law for gravity with a cosmological constant

Mathematics – Logic

Scientific paper

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Scientific paper

It is shown that Komar's conserved quantities can be generalized to space-times with a cosmological constant in which matter, electric charge, and massless scalar field are sources. In the special case of the Kerr-Newman-de Sitter solution, treated as a solution external to matter sources, these quantities are equal to the global mass and angular momentum of its source. They are determined regardless of any local distribution of the mass and angular momentum of sources in addition to the electric charge given by the classical Gauss' law.

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