Einstein’s Equations of Gravity Fields have No Linear Wave Solutions under Weak Conditions
International Astronomy and Astrophysics Research Journal,
Page 2645
Abstract
In the theory of gravity wave of general relativity, the metric of gravitational field was written as \(g_{\mu v}=G_{u v}+h_{\mu \nu}\) .It was proved that as long as \(h_{u v}\) was a small quantity of first order under weak condition, by using four harmonic coordinate conditions, the Einstein's gravitational field equation in vacuum can be transformed into a linear wave equation \(\partial^{2} h_{u v}=0\) , thus predicting the existence of gravitational waves. It is proved in this paper that there are many serious problems in the theory of gravity wave of general relativity. 1. The gravitational wave metric used in the theory and the detection of gravitational wave is not a direct result by solving the gravitational field equation of general relativity, but a hypothesis that has not been proved in mathematics and physics. 2. This gravitational wave metric does not satisfy the gravitational field equation \(R_{\mu v}=0\) in vacuum under weak condition. Therefore, the Einstein's equations of gravitational field can not be reduced to linear wave equations, and general relativity does not and can not predict the existence of gravitational waves. 3. The four harmonic coordinate conditions were used to derive the linear wave equation of gravitational wave in general relativity, but they are not tenable. This is the main reason why the gravitational wave metric does not satisfy the motion equation of general relativity. 4. The harmonious coordinate conditions can be satisfied by transforming them to other coordinate systems. But in this case, the metric tensors of gravitational wave become constants, meaning that the gravitational field disappears, let alone the gravitational waves. 5. The present gravitational wave detection was regarded to involve the extremely strong field of black hole collision in which \(h_{u v}\) was not a small quantity without wave solutions. However, general relativity still used linear wave equations to describe gravitational waves generated by the collision of black holes. The gravitational wave theory of general relativity contradicts itself. 6. The gravitational wave delayed radiation formula of general relativity is also untenable due to the chaotic calculations and wrong coordinate transformations. 7. This paper also discusses the existence of gravitational wave based on the revised Newton's theory of gravitation by introducing magnetolike gravitational component. 8. Finally, Chen Yongming's formula of electriclike gravitational wave radiation based on the Newton's theory of gravity is introduced. The theory is used to calculate the gravitational radiation of pulsar binary PSR1913+16, and the result is that the gravitational radiation reduces the distance of binary by 3.12 mm per period. Taylor and Hulls observed a decrease of 3.0951 mm per cycle, a difference of less than 1% comparing with the calculation by the Chen Yongming's formula. So the conclusion of this paper is that general relativity does not prove the existence of gravitational waves. We can describe gravitational radiation in terms of the revised Newtonian gravity theory in flat spacetime, the Einstein's gravity theory of curved spacetime is unnecessary.
Keywords:
 General relativity
 Linear wave equations
 Gravitational wave radiation
 Harmonic coordinate conditions
 Magnetic dipole radiation
 Electric quadrupole radiation
 Pulsed binary psr1913 16
 Chen yongming’s gravitational radiation formula
How to Cite
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