Abstract
Stephen Hawking gave a formula for the temperature of black holes as given by . Some of the black holes have their spinning velocity from 50% to 99% of the velocity of light. Due to this velocity, the mass of black holes will vary which cause the variation in the temperature of black holes. In the present research article, we have applied the variation of mass with velocity to obtain the rate of change in temperature of the black holes with respect to velocity. We have also calculated their values for super dense stars like black holes existing in XRBs and AGN and concluded that for super dense stars like black holes of lower velocity as well as the velocity comparable to the velocity of light, the rate of change in temperature with respect to velocity is directly proportional to their velocities. This work will help us to find out the variation in temperature of different black holes spinning with different velocity percentage related to light speed and can be used as the references for other research works.
Highlights
In classical theory, black holes can only absorb and not emit particles
In the present research work, we have applied the variation of mass with velocity as proposed by Albert Einstein to the Hawking temperature
A black hole has a temperature which is inversely proportional to the mass of black holes as per Hawking temperature formula
Summary
Black holes can only absorb and not emit particles. It is shown that quantum mechanical effects cause black holes to create and emit particles like a black body [1] [2]. Quantum fields on a black hole background space-time radiate thermal spectrum of particles, with a temperature ( κ 2π ), where κ is the surface gravity of the horizon [1]. Carter and Hawking performed calculations using a semi-classical approximation, putting Bekenstein conjecture on a firm basis. They established that the black hole temperature is proportional to its surface gravity [7]. Ved Prakash et al have discussed the statistical analysis of lifetime and temperature of the black holes existing in
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