Collapse and Nonlinear Instability of AdS Space with Angular Momentum

Area of Science:

• Theoretical physics
• General relativity
• Black hole physics

Background:

• The study investigates rotational dynamics within anti-de Sitter (AdS) space, a theoretical framework crucial for understanding gravity.
• The presence of a complex doublet scalar field is considered, adding complexity to the gravitational dynamics.

Purpose of the Study:

• To numerically study the endpoint of gravitational collapse in AdS_{5} with equal angular momenta.
• To analyze the influence of energy and angular momentum on collapse time and boson star stability.

Main Methods:

• Numerical simulations were employed to model gravitational collapse and boson star dynamics.
• The study focused on anti-de Sitter (AdS) space with equal angular momenta and a complex scalar field.

Main Results:

• Gravitational collapse results in a Myers-Perry black hole at high energies and a hairy black hole at low energies.
• Angular momenta delay collapse time but maintain a t∼1/E scaling.
• Boson stars near AdS space are stable, while those farther away are unstable, leading to collapse or stable oscillations.

Conclusions:

• The endpoint of gravitational collapse in this AdS_{5} model is energy-dependent.
• Rotational dynamics play a significant role in delaying collapse and influencing the stability of boson stars.
• Boson star instability can lead to either black hole formation or stable oscillating configurations.