A non-static quantum inspired spacetime in f(R) gravity: Gravity's rainbow

Area of Science:

• Theoretical physics
• Quantum gravity
• Cosmology

Background:

• Explores non-static spacetime in a quantum regime using gravity's rainbow, a UV completion of General Relativity.
• Studies the time-dependent Vaidya metric, representing a radiating star's spacetime, within this framework.

Purpose of the Study:

• To probe the nature of singularities (black hole vs. naked singularity) formed during gravitational collapse.
• To investigate the influence of gravity's rainbow on singularity formation and cosmic censorship.

Main Methods:

• Utilizes gravitational collapse as the primary tool.
• Employs geodesic studies to analyze singularity types.
• Considers two models of gravity: Starobinsky's inflationary model and the power law model.

Main Results:

• Reveals that naked singularities are as probable as black holes, depending on initial data fine-tuning.
• Gravity's rainbow enhances the likelihood of naked singularity formation.
• Deduces conditions for strong or weak curvature singularities.

Conclusions:

• The study highlights deviations from classical physics, attributed to quantum fluctuations in quantum gravity.
• Findings are crucial for understanding the Cosmic Censorship hypothesis and quantum gravity theories.