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Gravitational collapse on the brane: a no-go theorem.
M Bruni1, C Germani, R Maartens
1Relativity and Cosmology Group, School of Computer Science and Mathematics, Portsmouth University, Portsmouth PO1 2EG, United Kingdom.
Physical Review Letters
|December 12, 2001
Summary
Braneworld gravity prevents static black hole exteriors, unlike general relativity. This study explores gravitational collapse and black hole formation on a Randall-Sundrum brane, considering Kaluza-Klein energy effects.
Area of Science:
- * Theoretical physics
- * Gravitational physics
- * Cosmology
Background:
- * General relativity predicts static black hole exteriors under certain conditions.
- * Braneworld scenarios offer alternative models for gravity.
- * Understanding gravitational collapse is key to black hole formation theories.
Purpose of the Study:
- * To investigate gravitational collapse and black hole formation within braneworld models.
- * To determine the impact of Randall-Sundrum-type branes on spacetime dynamics.
- * To establish whether static exterior spacetimes are possible on a brane.
Main Methods:
- * Studying Oppenheimer-Snyder-like gravitational collapse on a Randall-Sundrum brane.
- * Developing a theoretical framework without assumptions about the bulk spacetime.
- * Utilizing a toy model to analyze Kaluza-Klein energy density effects.
Main Results:
- * Proved a no-go theorem: exterior spacetime on the brane cannot be static.
- * Demonstrated a fundamental difference between braneworld gravity and general relativity.
- * Identified the role of Kaluza-Klein energy density in the collapse process.
Conclusions:
- * Braneworld gravity fundamentally alters black hole exterior properties.
- * Static black hole exteriors are not permitted on Randall-Sundrum-type branes.
- * Further research is needed to fully understand Kaluza-Klein energy's influence on collapse.