The Shapiro Conjecture: Prompt or Delayed Collapse in the head-on collision of neutron stars?

Details The Shapiro Conjecture: Prompt or Delayed Collapse in the head-on collision of neutron stars? The Shapiro Conjecture: Prompt or Delayed Collapse in the head-on collision of neutron stars?

1999-04-19

arxiv.org/abs/gr-qc/9904041v1

Phys.Rev.D63:121501,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 7 figures

Scientific paper

10.1103/PhysRevD.63.121501

We study the question of prompt vs. delayed collapse in the head-on collision of two neutron stars. We show that the prompt formation of a black hole is possible, contrary to a conjecture of Shapiro which claims that collapse is delayed until after neutrino cooling. We discuss the insight provided by Shapiro's conjecture and its limitation. An understanding of the limitation of the conjecture is provided in terms of the many time scales involved in the problem. General relativistic simulations in the Einstein theory with the full set of Einstein equations coupled to the general relativistic hydrodynamic equations are carried out in our study.

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