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Solar ray speed?

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Think about this case.

The Sun is a big mass object.

So the gravity is very big as you know.

The ray emitted from the Solar photosphere come to Earth every minute.

Then, Is the light speed between the Sun and the Earth constant?

Sun-------------------------------------------------------------------------------------Earth

speed55555555555555555555555555555555555555555A case

speed55444444444444444444444444444444444444444B case

speed55666666666666666666666666666666666666666C case

speed56677777777777777777777777777777777777777D case

speed-------------------------------------------------------------------------------->E other case

.

Which one is more similar to that phenomena?

Honestly, it will depend on the coordinates you use. However, general relativity says that in "small enough" regions of space the space-time is flat. This mean that one can pick coordinates in which the speed of light is constant and given by "c".

 

So, "locally" the speed of light is constant and agrees with that of special relativity.

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