Collapse to black holes in Brans-Dicke theory. II. Comparison with general relativity

1994/11/10 by Mark A. Scheel, Mark Scheel, Stuart L. Shapiro +1 · 149 citations
Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Black hole (networking) #Brans–Dicke theory #Cosmology and Gravitation Theories #Event (particle physics) #Event horizon #General relativity #Gravitation #Horizon #Mathematical physics #Numerical relativity #Omega #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Theoretical physics #Theory of relativity #gr-qc

paper · pdf · doi:10.1103/physrevd.51.4236

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 51(8), 4236-4249 (American Physical Society) · 24 pages including figures, uuencoded gz-compressed postscript, Submitted to Phys Rev D

arxiv created 1994/11/10 · openalex publication_date 1995/04/15 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss a number of long-standing theoretical questions about collapse to black holes in the Brans-Dicke theory of gravitation. Using a new numerical code we show that Oppenheimer-Snyder collapse in this theory produces black holes that are identical to those of general relativity in final equilibrium, but are quite different from those of general relativity during dynamical evolution. We find that there are epochs during which the apparent horizon of such a black hole passes outside the event horizon, and that the surface area of the event horizon decreases with time. This behavior is possible because theorems which prove otherwise assume R_abl^al^b\ensuremath≥0 for all null vectors l^a. We show that dynamical spacetimes in Brans-Dicke theory can violate this inequality, even in vacuum, for any value of \ensuremathω.

Citations

• Mach's Principle and a Relativistic Theory of Gravitation
• Formation of naked singularities: The violation of cosmic censorship
• The Large Scale Structure of Space-Time
• Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
• Global Structure of the Kerr Family of Gravitational Fields
• Equivalence Principle for Massive Bodies. II. Theory

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