Hawking Radiation due to Photon and Gravitino Tunneling

Understand

Applying the Hamilton--Jacobi method we investigate the tunneling of photon across the event horizon of a static spherically symmetric black hole.

• The necessity of the gauge condition on the photon field, to derive the semiclassical Hawking temperature, is explicitly shown.
• Also, the tunneling of photon and gravitino beyond this semiclassical approximation are presented separately.
• Quantum corrections of the action for both cases are found to be proportional to the semiclassical contribution.