The Positive Mass Theorem
We begin by repeating some material treated at various places in earlier chapters. — In Newtonian gravity theory the total energy of a system can be indefinitely negative. (For the critical masses of the white dwarfs, discussed in Sect. 6.2, the total energy becomes −∞.) This is not the case in GR. It is impossible to construct an object out of ordinary matter, i.e., matter with positive local energy density, whose total energy (including gravitational contributions) is negative. This is roughly the content of the positive energy theorem.
KeywordsBlack Hole Apparent Horizon Lorentz Manifold Spacelike Hypersurface Weyl Spinor
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