Effect of Quantum Gravity on the Stability of Black Holes

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.

Stability Analysis of Charged Rotating Black Ring

“…The BH thermodynamics have been analyzed within the GUP [9][10][11][12][13][14][15][16]. The field equation in the WKB approximation and tunneling of bosons from the BHs in different theory have been analyzed [17,18]. The GUP effect on BHs radiation and the instable and stable have been analyzed.…”

Tunneling Analysis Under the Influences of Einstein-Gauss-Bonnet Black Holes Gravity Theory

“…Using Hamilton-Jacobi method, the significance of field equation has been studied by considering electromagnetic interactions [14]- [17]. The massive bosons tunneling in both electric and magnetic fields and Hawking temperatures have been computed.…”

Tunneling of Hawking radiation for BTZ black hole revisited

“…Furthermore, the effect of generalized uncertainty principle was inquired to assess Hawking radiation in (2+1)-dimensions [23]. In addition, the effect of quantum gravity on the stability aspects of black holes was discussed in [24]. The BTZ black hole was also analyzed for massive gravity in a more general context [25] to ascertain Hawking radiation and provide an estimate of tunneling probability.…”