The Penrose inequality and apparent horizons

Details The Penrose inequality and apparent horizons The Penrose inequality and apparent horizons

2004-08-19

arxiv.org/abs/gr-qc/0408066v2

Phys.Rev. D70 (2004) 124031

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 6 figures, revised for publication; revised section 6, added footnote no. 16, typos corrected

Scientific paper

10.1103/PhysRevD.70.124031

A spherically symmetric spacetime is presented with an initial data set that is asymptotically flat, satisfies the dominant energy condition, and such that on this initial data $M<\sqrt{A/16\pi}$, where M is the total (ADM) mass and A is the area of the apparent horizon. This provides a counterexample to a commonly stated version of the Penrose inequality, though it does not contradict the ``true'' Penrose inequality.

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