Motion of Photons in a Gravitational Field of Massive Body

Abstract

A photon in a gravitational field defined by the accelerates g is found to have a gravitational mass given by a force that is equivalent to the curvature force introduced by Einstein’s general relativity. These photons are considered as the radiation emitted by a massive body such as a black hole. A massive body emitting such a radiation develops an entropy that is found to increase linearly with the mass of the massive body, and inversely with the photon mass. Based on this, we investigate detection of motion of photons in gravitational field of massive body using the General Relativity theory and Dynamical Theory of Gravitation. Thus, using supporting theoretical evidence from the photon gravitational effects, light bending near the Sun, radar echo from planets and gravitational lensing in addition to gravitational redshift of light, we calculate the acceleration of point mass and photon by gravity. The result indicate that the propagation of gravitational mass of a photon is not zero as oppose to the previous experiments. Instead, it is equal to its quantum mass, which account for the time delay time experienced by radar signals passing near a massive object. Our finding revealed that the created photons could be seen as resulting from quantum fluctuation and our calculations are were found to be analogous to Larmor power of an accelerating charge.  We discuss the motion of photon accelerated by gravity and suggest a systematic theoretical framework for future quantum sensing of the motion of photons in gravitational weak field due to, for example, dark matter and gravitational effects of light.