Relationship between mass and speed of light

10^{th} Nov,2012

Tetsuya Nagai

It has been observed officially that the
light is bent under gravity.

From general relativity

Where

Where

G is the gravitational constant.

In general relativity the bending of light has been explained by the
distortion of space.

However instead of the distortion of space,
can't we explain the bending of light as a phenomenon that derived
from the changing of the speed of light depend on location in a vacuum?

I try to explain the bending of light
with using non- distorted axis of space-time as following.

I assume that the total amount of the Laplacian of

from(2)

In following figure

The light will pass through the distance

Where

Where

Therefore

=

From (1)(10)

From (2)(11)

Therefore total amount of the Laplacian of

As a result I found a relationship between the mass and the speed of light.

Also I try to seek the relationship between the gravity and light speed.

From(3)and (11)

From the law of universal gravitation.

Where

From(13)(14)

Therefore the gradient of