2014
DOI: 10.1142/s0217751x14300543
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Effects of quantum gravity on black holes

Abstract: In this review, we discuss effects of quantum gravity on black hole physics. After a brief review of the origin of the minimal observable length from various quantum gravity theories, we present the tunneling method. To incorporate quantum gravity effects, we modify the Klein-Gordon equation and Dirac equation by the modified fundamental commutation relations. Then we use the modified equations to discuss the tunneling radiation of scalar particles and fermions. The corrected Hawking temperatures are related t… Show more

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Cited by 88 publications
(84 citation statements)
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References 132 publications
(219 reference statements)
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“…The motion of a scalar particle obeys the Klein-Gordon equation, namely, (P μ P μ + m 2 ) = 0. When quantum gravity effects were considered, the modified Klein-Gordon equation was derived in [29]. Here, we take into account the electromagnetic field and quantum gravity effects.…”
Section: Discussionmentioning
confidence: 99%
“…The motion of a scalar particle obeys the Klein-Gordon equation, namely, (P μ P μ + m 2 ) = 0. When quantum gravity effects were considered, the modified Klein-Gordon equation was derived in [29]. Here, we take into account the electromagnetic field and quantum gravity effects.…”
Section: Discussionmentioning
confidence: 99%
“…In this section, we analyze Hawking temperature for massive charged fermions by considering tunneling procedure incorporating quantum gravitational effects. The modified form of Dirac equation (3.1) is given as follows [68] −…”
Section: Quantum Corrections Of T Hmentioning
confidence: 99%
“…We can easily incorporate GUP effects into the massive Klein-Gordon equation by using the modified operators of position and momentum. In leading order of β, this leads to the following equation [33] …”
Section: Tunneling Of Massive Scalar Particles With Gupmentioning
confidence: 99%