Summary
The paper discusses the covariant LTB collapse in models of loop quantum gravity, focusing on the marginally bound case. It presents a detailed analysis of the emergent modified gravity, including the Hamiltonian constraint and the LTB condition. The study finds that generic collapse in this setting implies a physical singularity, contrasting with the bouncing behavior seen in vacuum space-times.
Highlights
- The paper analyzes the covariant LTB collapse in loop quantum gravity.
- It focuses on the marginally bound case, κ(x) = 0.
- The study uses emergent modified gravity, including the Hamiltonian constraint and LTB condition.
- Generic collapse implies a physical singularity, not just a shell-crossing singularity.
- The singularity is present even with holonomy modifications from loop quantum gravity.
- The study also discusses the causal structure of the solutions.
- It compares the results with classical collapse and other models of loop quantum gravity.
Key Insights
- The covariant LTB collapse in loop quantum gravity is analyzed using emergent modified gravity, which includes a modified Hamiltonian constraint and LTB condition. This framework allows for a consistent implementation of the LTB condition in the modified theory.
- The study finds that generic collapse in this setting implies a physical singularity, which contrasts with the bouncing behavior seen in vacuum space-times with the same type of modifications. This result highlights the importance of considering matter couplings in loop quantum gravity.
- The analysis focuses on the marginally bound case, κ(x) = 0, which is a simplification that allows for considerable analytic progress. However, this case is still physically relevant and provides valuable insights into the behavior of LTB collapse in loop quantum gravity.
- The study also discusses the causal structure of the solutions, including the formation of a singularity and the behavior of light rays. This analysis provides a more complete understanding of the physical implications of the covariant LTB collapse.
- The results of this study have implications for our understanding of black hole formation and the behavior of matter in loop quantum gravity. They highlight the need for a more detailed analysis of matter couplings and the importance of considering the physical implications of covariant models.
- The study also compares the results with classical collapse and other models of loop quantum gravity, providing a broader context for understanding the implications of the covariant LTB collapse.
- Overall, the study provides a detailed analysis of the covariant LTB collapse in loop quantum gravity, highlighting the importance of considering matter couplings and the physical implications of covariant models.
Mindmap
Citation
Bojowald, M., Duque, E. I., & Hartmann, D. (2024). Covariant LTB collapse in models of loop quantum gravity (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.18054