Ph. D. in Mathematics or Physics (Relativity)

[noppakhuns]

Does anyone know whether there is any university having researches on General Relativity itself, not its application in Astrophysics? If so, what mathematics do I need rather than differential geometry?

 

[Rob Woodside]

If you are seriously interested in general relativity, you cannot ignore astrophysics. There are lots of schools with people doing numerical relativity, exact solutions, quantum gravity, gravitational wave detection, etc. The math you want depends on your interests, from computer science to algebraic topology. Differential topology is probably a must.

 

[R0man]

Yes, there are several universities that have research programs specifically focused on General Relativity itself, rather than its application in Astrophysics. Some examples include the University of California, Santa Barbara, the University of Cambridge, and the University of Chicago.

In terms of mathematics, a strong foundation in differential geometry is essential for studying General Relativity. However, other areas of mathematics that may be useful include tensor analysis, differential equations, and topology. It is also important to have a solid understanding of mathematical physics and theoretical physics in general.

Additionally, it may be beneficial to have knowledge in areas such as algebraic geometry, Lie theory, and complex analysis, as these fields have applications in General Relativity. Ultimately, the specific mathematics needed will depend on the specific research focus and interests within the field of General Relativity. It is always a good idea to consult with professors and advisors in the field to determine which areas of mathematics would be most relevant for your particular research interests.