No abstract

In this research paper, we have derived the formula for both the changes in energy (δE) and entropy (δS) and thereafter calculated the change in entropy (δS) with corresponding change in energy (δE) taking account the first law of the black hole mechanics relating the change in mass M, angular momentum J , horizon area A and charge Q, of a stationary black hole, when it is perturbed, given by formula satisfying in the vacuum as δM = k 8π δA + δJ − υδQ, specially for Non-spinning black holes.

The present research paper derives a formula for gravitational force acting between the black hole and light particle passing near the radius of event horizon of black holes and calculates also their values of different test black holes existing in only X-ray binaries (XRBs).

In the present work, we have derived the formula for the variation of the gravitational constant given by 2 2 ' / 1 / G G v c = − in very strong gravitational field of the compact bodies like super massive black holes and neutron stars applying special relativity and Newton's law of gravitation for two bodies where v be the velocity of spinning compact bodies like black holes, neutron stars etc. and c be the velocity of light and calculated the variability of the gravitational constant (G) at different speed of the spinning of the black holes, neutron stars and quasars to show the speed is also factor governing the force of gravity addition to the mass.

The present paper derives an expression for the change in internal energy and enthalpy of the black holes using first law of thermodynamics and showing that the change in internal energy and enthalpy are the manifestations of same thing at constant pressure and volume. The paper also shows that the spinning black holes with spin a * 1 → do not radiate energy and mass of the black hole becomes infinity for zero surface gravity.