Quantum uncertainty in the final state of gravitational collapse

Mathematics – Probability

Scientific paper

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Black Holes (Astronomy), Cosmic Dust, Gravitational Collapse, Quantum Mechanics, Relativity, Astronomical Models, Einstein Equations, Field Theory (Physics), Probability Theory, Singularity (Mathematics), Space-Time Functions

Scientific paper

A study is conducted of the behavior of a physical system which initially follows the relations of classical physics and subsequently, as a result of later developments, becomes subject to quantum-uncertainty considerations. The specific example considered involves the gravitational collapse of a spherical dust ball. According to classical physics a space-time singularity will finally result. The corresponding quantum mechanical result suggests a range of final states some of which are nonsingular.

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