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Tuesday, 12 November 2013, 14:00 in P8445B
Jun-Qi Guo (SFU)
Spherical collapse in f(R) gravity
The spherical scalar collapse in f(R) gravity is studied numerically. The f(R) theory is a modification of general relativity at low curvature scale and the Ricci curvature scalar decreases when the physical scalar field collapses to form a black hole. Consequently, the gravity transits from general relativity to f(R) gravity, and the scalar degree of freedom f' is released from a coupled state to a light state. Due to the gravity from the scalar sphere and the lightness of f', f' crosses the minimum of the potential and approaches zero near the singularity of the black hole. Near the singularity, in the equations of motion for the metric components and the scalar fields, the spacial derivative terms are negligible compared to the time derivative terms; the equations of motion are decoupled, transferring from partial differential equations to ordinary differential equations with respect to the coordinate time. The behaviors of the metric components and the scalar fields are described by the Kanser solutions. These results confirm the BKL conjecture. The final state of the scalar collapse in f(R) gravity will be discussed.
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Modified by Andrei Frolov <frolov@sfu.ca> on 2023-11-01