Understand
We construct time-periodic solutions for a system of self-gravitating massless scalar field, with negative cosmological constant, in d+1 spacetime dimensions at spherical symmetry, both perturbatively and numerically.
- We estimate the convergence radius of the formally obtained perturbative series and argue that it is greater then zero.
- Moreover, this estimate coincides with the boundary of the convergence domain of our numerical method and the threshold for the black-hole formation.
- Then we confirm our results with a direct numerical evolution.
Built on
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J. Bičák, M. Scholtz and P. Tod, Class. Quant. Grav. 27
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J. Bičák, M. Scholtz and P. Tod, Class. Quant. Grav. 27
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J.E. Santos, private communication:
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