RESEARCH GRAVITATIONAL WAVE EQUATION

Chen Shouyuan

Message College of Shandong Normal University 250014 Jinan , P.R. China

ABSTRACT: We research gravitational waves in ideas of electromagnetic waves. Moving object creates a new U-field, the change of motion creates inducing new field, it is called induction gravity.

KEYWORDS : Gravitation waves; Electromagnetic waves ;faraday’s induction


THE U-FIELD OF A MOVING OBJECT
We have known electric current is a moving electric
charge, it creates magnetic field. It’s strength due to a cu-
rrent in a long straight wire is :

image01.gif (1665 字节)                                (1)

Reason by analogy, we define the moving object creates a new U-field, It’s strength is proportional to the momentum (P), reverse to the square of the separation (r)

UNIVERSAL GRAVITATION AND ELEC-
TROSTATICS

UNIVERSAL GRAVITATION
     We know Newton conceived the idea of universal gravitation while contemplating a falling apple. Gravitational attraction force between two point masses m1 and m2 separated by a distance r is proportional to the product of m1 and m2 , and is reverse to the square of the separation (r).

image02.gif (2211 字节)                         (2)

G is the gravitation constant

ELECTROSTATICS
Charges of the same species repel; Charges of the different species attract. The force between the two electric charges is proportional to the product of the two electric charges , and is reverse to the square of the separation (r).

Electric force

image03.gif (2625 字节)                       (3)

FARADAY’S LAW AND NEWTON SEC-
OND LAW

FARADAY’S LAW
Faraday made the first step in the discovery of the great law of electromagnetic induction that new bears his name. The electric current was not caused by the magnetic field, but by a change in the magnetic field. We have already seen that faraday associated an electric current with a changing magnetic field; a change in the magnetic flux through a circuit produces an electromotive force around the circuit. Faraday’s law of electromagnetic induction is :

image04.gif (1952 字节)                             (4)

The Faraday's law is the changing magnetic field creates electric field.

NEWTON SECOND LAW
Newton second law: the change of motion is proportional to the motive force impressed; and is made in the direction of the right line in which that force is impressed. We have defined the moving object creating a new U-field, its strength is proportional to the momentum (P), reverse to the square of the separation (r). The change of motion is the change of momentum, the change of mote change of U-field.

image05.gif (1650 字节)                                (5)

The change of U-field produces a new field similarly to gravitational field.


MAXWELL’S EQUATIONS

image06.gif (2068 字节)                             (6)

image07.gif (1574 字节)                                  (7)

image08.gif (2257 字节)                           (8)

image09.gif (2703 字节)                         (9)

Equation 6 states that the flux of the electric field through any closed surface equals the net charge inside the surface. Equation 7 states that the flux of the magnetic induction B through any closed surface is zero. Equation 8 is Faraday’s law. It relates the electric field to the magnetic field B. the changing magnetic field B creates the electric field. Equation 9 states that the electric current creates magnetic field B, and the changing electric field E creates too magnetic field B.

Maxwell’s Equations comprise a complete theory of classical electromagnetic field. They do not assign priority to either a changing magnetic or electric field the two are intimately bound together, and one cannot occur without the other. Maxwell showed that his equations predict the existence of electromagnetic waves.

The waves equation of electromagnetic waves is

image10.gif (2781 字节)                       (10)

image11.gif (2344 字节)                               (11)

THE WAVES EQUATIONS OF MOTION OBJECT

Analogy with Maxwell’s Equations, we have

image12.gif (2088 字节)                                  (12)

image13.gif (1589 字节)                                     (13)

image14.gif (2531 字节)                                (14)

image15.gif (2668 字节)                             (15)

Equation 12 states that the flux of the gravitational
field through any closed surface equals the net mass in side the surface. Equation 13 states that the flux of U-field through any closed surface is zero. Equation 14 is Newton second law. It relates the gravitational field to the U-field . The changing U-field creates the U-field field. Equation 15 states that the masses current creates U-field , and the changing gravitational field N creates too U-field . Over Equations can comprise a complete theory of classical gravitational--U field. They do not assign priority to either a changing u-field or gravitational field –the two are intimately bound together, and one cannot occur without the other. We predict that these equations predict the existence of masses waves in vacuum.
Waves equation of masses waves in vacuum waves are:

image16.gif (2515 字节)                                 (16)

image17.gif (2333 字节)                                 (17)

REFERENCES

[1] John J. O’Dwyer. College physics. second edition. Wadsworth publishing company.1981.
[2] Paul A, Tipler. Physics. Worth Publisher.Jnc.1982.


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