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Quantum Oppenheimer-Snyder and Swiss Cheese Models
Jerzy Lewandowski1, Yongge Ma2, Jinsong Yang3
1Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.
Loop quantum cosmology yields a new quantum black hole model, showing quantum effects set a minimum black hole mass. This research explores spacetime properties and introduces a quantum Swiss Cheese model for cosmological phenomenology.
Area of Science:
- Theoretical Physics
- Cosmology
- Quantum Gravity
Background:
- The Oppenheimer-Snyder model describes gravitational collapse leading to black hole formation.
- Loop quantum cosmology offers a framework to quantize spacetime geometry.
- Understanding quantum black hole formation and properties is a key challenge in theoretical physics.
Purpose of the Study:
- To derive a quantum black hole model using loop quantum cosmology.
- To investigate the implications of quantum effects on black hole mass and spacetime.
- To explore a quantum Swiss Cheese model analogous to black hole cosmology.
Main Methods:
- Applying loop quantum cosmology to the Oppenheimer-Snyder model.
- Deforming the Schwarzschild metric to incorporate quantum effects.
- Analyzing the maximal extension of quantum black hole spacetimes.
- Developing a quantum Swiss Cheese model as a complementary scenario.
Main Results:
- A new quantum black hole model is derived, featuring a deformed Schwarzschild metric.
- Quantum effects impose a lower bound on the mass of black holes formed from collapsing dust.
- Properties of the maximal extension of spacetime for larger black holes are investigated.
- A quantum Swiss Cheese model is obtained, analogous to black hole cosmology.
Conclusions:
- Quantum gravity effects in loop quantum cosmology lead to a minimum black hole mass.
- The derived models provide insights into quantum black hole formation and spacetime structure.
- The quantum Swiss Cheese model offers a new perspective on universe evolution and the Big Bang.
- These quantum models open avenues for exploring cosmological phenomenology.
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