A Is There a Unified Theory Between General Relativity and Electromagnetism?

[Karimselim1997]

I want know is there any unified and consistent theory between general relativity and electromagnetism ? If yes could you provide me any textbook ? I'm interest

 

[PeterDonis]

is there any unified and consistent theory between general relativity and electromagnetism ?

No. There have been various attempts at one over the years (Einstein worked on this for much of the latter part of his life), but none of them have worked out.

 

[anuttarasammyak]

Not quantum but classical electromagnetism is well considered in general relativity. Here I have text of Dirac. He says just add terms of electromagnetic field and charge-field interaction to action of the system. For an example we can treat charged black holes in GR.

 

[PeterDonis]

classical electromagnetism is well considered in general relativity

In the sense that you can write the Maxwell Equations in tensor form in a curved spacetime and find consistent solutions to them, yes. But that's not the same as a unified field theory in which both gravity and electromagnetism are aspects of the same field. I understood the OP to be asking about the latter, but he's welcome to clarify.

 

[haushofer]

Zee's nutshell book on GR has a nice discussion on Kaluza-Klein theory, 5-dim GR with one dimension curled up into a circle. The extra freedom allows you to write the 5-dim. metric as a 4-dim. metric plus one 4-dim. vector potential A and a scalar.

However, making a dimension compact is 1 thing; keeping it compact is another. This problem is known as moduli stabilization, and is also a technical subtlety in string theory.

That's the closest answer I can think of.