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 :

(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).

(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

(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 :

(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.

(5)

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

**MAXWELL’S EQUATIONS**

(6)

(7)

(8)

(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

(10)

(11)

**THE WAVES EQUATIONS OF MOTION OBJECT**

Analogy with Maxwell’s Equations, we have

(12)

(13)

(14)

(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:

(16)

(17)

**REFERENCES**

[1] John J. O’Dwyer. College physics. second edition. Wadsworth publishing company.1981.

[2] Paul A, Tipler. Physics. Worth Publisher.Jnc.1982.