The Application Of General Relativity: Hawking Radiation Of The Black Hole And GPS Navigation

In recent years, numerous measurements all suggest that the universe is currently accelerating and is dominated by a component with negative pressure, which is named as dark energy. Nowadays, research shows that the universe contains about 73% dark energy, dark matter 22.6%,4.4% the visible matter and negligible radiation. In 1915, Einstein created the theory of general relativity, pointed out that gravity is curved space-time performance. Then physicists began to use it to study the movement of celestial objects, celestial evolution, evolution of the universe, origin of the universe, and other astrophysical problems. Black hole is a dark matter, general relativity predicts the object is. General relativity and the theory of gravitation gradually build up, the research on dark energy and black holes has become the hottest topic in physics.General Relativity have an important application in the actual production and life is GPS satellite navigation system, which is now running, the effects of general relativity take a direct impact on GPS satellite navigation system accuracy.This paper is divided into four parts. Firstly we take a brief introduction to relation of the theory of general relativity and black holes, the Hawking radiation of black hole and the four laws of black hole thermodynamics, dark energy model in cosmological; Secondly, the main study on the black hole which is under the background with Quintessence dark energy in the Schwarzschild metric,we calculate its quantum tunneling process and black hole remnant, then we discussed the contribution of the black hole entropy by the existence of dark energy.In addition, we also research GPS satellite which is under the background with Quintessence dark energy in the Schwarzschild field, we obtained the relativistic correction of GPS satellites'orbit and the GPS satellite clock, then we discussed shift angle of GPS satellites'orbit impacted by the presence of Quintessence dark energy.The lats chapter is both a conclusion and a prospect. It sums up the entire dissertation, and looks into the future work.