A black hole with electric charge is described as the Reisner-Nordström black hole by the solution to Einstein’s equations. It is a key concept in the study of black holes and their features. Recent research has shown that quantum gravitational corrections can affect this outcome, which may have a significant impact on how we understand black holes
In a recent study, a team of researchers led by Behnam Pourhassan explored the effects of alpha prime (α′) corrections on the behavior of a Reissner-Nordström black hole. α′ corrections are quantum gravitational effects that arise from heterotic superstring effective field theory compactified on T6. The study was conducted by using the Parikh-Wilczek formalism, which relates the entropy of a black hole to the entropy of the particles emitted during its evaporation.
The adjustment of the Reissner-Nordström black hole affects its thermodynamic stability, according to the research team. This is accurate since the value of ′ determines the thermodynamic state of the black hole. Since “corrections” are actually quantum gravitational effects, the researchers also discovered a second phase transition point for modest masses.
The researchers also analyzed the quantum work distribution for an evaporating black hole. The quantum work distribution is a unitary quantum process that represents the change in the internal energy of a black hole as it evaporates. The researchers calculated the average quantum work done by the black hole and found that it was related to the difference of α′ corrected free energies using the Jarzynski equality and non-equilibrium quantum thermodynamics.
Furthermore, using the Kullback-Leibler divergence and cross entropy, the researchers investigated how corrections affected non-thermal radiation. The behaviour of the black hole and the quantity of energy lost by non-thermal radiation could both be considerably impacted by the corrections, they found.