Definitions of black holes without use of the boundary at infinity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Cosmology, Space-Time Functions, Singularity (Mathematics), Topology

Scientific paper

Two definitions of a black hole are given without reference to the
boundary at infinity of space-time. One definition does not require any
global causality condition and the other is applicable to a closed
Friedmann-like space-time. The area theorem is found to hold in both
cases.

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