Abstract
We investigate the massive vector field equation with the WKB approximation. The tunneling mechanism of charged bosons from the gauged super-gravity black hole is observed. It is shown that the appropriate radiation consistent with black holes can be obtained in general under the condition that back reaction of the emitted charged particle with self-gravitational interaction is neglected. The computed temperatures are dependant on the geometry of black hole and quantum gravity. We also explore the corrections to the charged bosons by analyzing tunneling probability, the emission radiation by taking quantum gravity into consideration and the conservation of charge and energy. Furthermore, we study the quantum gravity effect on radiation and discuss the instability and stability of black hole.
Highlights
General relativity is associated with the thermodynamics and quantum effect which are strongly supportive of each other
The TH slightly increase with increasing horizon and a slight change in the value of the correction parameter α = 1 can cause a small increase in temperature, but the non-physical behavior identifies the unstable state of black hole (BH)
We have extended the work of massive vector particles tunneling probability/rate for more generalized BHs in four, five and seven dimensional spaces and observed the Hawking temperatures at which the particles tunnel through horizons
Summary
General relativity is associated with the thermodynamics and quantum effect which are strongly supportive of each other. For the study of a boson particle tunneling process form a BH in (3 + 1) dimension theory of gauged super-gravity, we calculate the Hawking temperature of BH by tunneling phenomena at event horizon. The Γ(imW + ) depends on the radial coordinate at the outer horizon r+ , A0 vector potentials, E energy, j angular momentum, e charge of particles, qi charge of a 4D gauged super-gravity BHs, α quantum gravity and Ω represent the angular velocity on this horizon. This BH solution occurs for N = 8, D = 5, in gauged super-gravity theory (symmetry) [41]. The Hawking temperature depends on parameters r0 , q2 , and q1
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