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Time-periodic solutions in an Einstein AdS-massless-scalar-field system
Maciej Maliborski1, Andrzej Rostworowski
1M Smoluchowski Institute of Physics, Jagiellonian University, 30-059 Kraków, Poland. maliborski@th.if.uj.edu.pl
Physical Review Letters
|August 20, 2013
Summary
Researchers constructed time-periodic solutions for self-gravitating scalar fields. These solutions are stable and indicate a threshold for black-hole formation in cosmological models.
Area of Science:
- Theoretical physics
- Cosmology
- General relativity
Background:
- Investigating the behavior of self-gravitating fields is crucial for understanding cosmological models.
- The presence of a negative cosmological constant influences spacetime dynamics.
Purpose of the Study:
- To construct and analyze time-periodic solutions for a self-gravitating massless scalar field system.
- To determine the stability and convergence properties of these solutions.
- To explore the relationship between solution stability and black-hole formation.
Main Methods:
- Perturbative expansion to construct formal solutions.
- Numerical methods to analyze convergence and stability.
- Direct numerical evolution to confirm theoretical findings.
Main Results:
- Construction of time-periodic solutions in d+1 dimensions with spherical symmetry.
- Estimation of a positive convergence radius for the perturbative series.
- Identification of a critical threshold for black-hole formation coinciding with numerical convergence limits.
Conclusions:
- The constructed time-periodic solutions are nonlinearly stable.
- The study provides a framework for understanding field dynamics near black-hole formation thresholds.
- Results offer insights into the interplay of scalar fields, cosmological constants, and spacetime evolution.
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