Relic Gravitational Waves Energy-Momentum Pseudo-Tensor In Mφller-Landau Expression And Its Asymptotic Behavior Of High-Frequency

Einstein published General Relativity in 1916, and predicted the existence of gravitational waves on the basis of the theory. Up to now, some important predictions from General Relativity have been confirmed by experiments: they include precession of perihelion of mercury, deflection of light in the gravitational field, doppler-shift of spectrum in the gravitational field, and the extension of the radar echo delay, etc. Detecting the existence of gravitational waves in decades has been an important topic in physics filed. Over the past few years, although scientists did a lot of work on the detection of gravitational waves, they got no direct evidence of gravitational waves, except for the indirect evidence provided by observation of Gravitational radiation damping called PSR1913 + 16 and PSRJ0737-3039A/B.The confirmation of this prophecy will be the most effective, strict and excite inspection to General relativity.This paper firstly briefly reviews the history of the development of the gravity theory, introduces the detection background, present situation and development trend for gravitational waves, especially introduce the detection and status in details for High-frequency relic gravitational waves with particular concern from physics. And finally introduces sources of Celestial gravitational waves which have been generally accepted by scientific so far and the related knowledge of microwave background radiation. Whether in Einstein's General relativity or in other relativity theory of gravity, the description and calculation of gravitational energy-momentum tensor is very important and complicated.The key in this paper is to calculate the energy-momentum pseudo-tensors of relic gravitational waves in the pure gravitational field. On the basis of two thought put forward respectively by Einstein and Tolman, we have three classic expressions of the energy-momentum tensors in pure gravitational field: Einstein-Tolman expression, Landau-Lifshitz expression, Mφller expression. The paper separately study all components of energy-momentum pseudo-tensors of High-frequency relic gravitational waves from above three expressions in the cosmography space-time, and then discusses some problems about positive definiteness and the universal gravitational waves'gradual behavior at high frequencies. Discussing the problems of high frequency waves in the universe gradual behavior. Now researcher do not detect gravitational waves directly, and energy-momentum tensor has no self consistent expression completely, so this is a subject worthy of being further studied, furthermore the results will provide certain theoretical reference for detecting High-frequency relic gravitational waves.