Research topic related to extended bodies on GR

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SUMMARY

The discussion centers on a graduate student's search for a research topic in General Relativity (GR) after losing their preferred advisor. The student has a background in mathematical physics and is particularly interested in Quantum Field Theory on Curved Spacetimes (QFTCS) and fundamental physics. The available advisor suggested a project on the dynamics of extended bodies in GR using Dixon's formalism, which the student feels diverges from their interests. The student seeks suggestions for a research topic that aligns more closely with fundamental physics within the framework of GR.

PREREQUISITES
  • Understanding of General Relativity (GR)
  • Familiarity with Quantum Field Theory (QFT)
  • Knowledge of Dixon's formalism in GR
  • Basic concepts of differential geometry
NEXT STEPS
  • Research the applications of Dixon's formalism in GR
  • Explore the Unruh effect and its implications in QFTCS
  • Investigate the dynamics of extended bodies in the context of GR
  • Study recent master's theses focusing on fundamental physics in GR
USEFUL FOR

Graduate students in physics, particularly those specializing in General Relativity and Quantum Field Theory, as well as researchers looking for topics that bridge applied and fundamental physics in their studies.

leo.
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I'm in a graduate course in Physics to obtain a master's degree. I have a major in mathematical physics and my main interests are General Relativity (GR), Quantum Field Theory on Curved Spacetimes (QFTCS), and usual Quantum Field Theory (QFT) itself.

My interest is in the fundamental physics aspects of those. I also prefer works whose objective is to study the theory itself, the formalism and the proper mathematical way to formulate the theory, derive general results and so foth. I don't have much interest in studying particular cases.

To make a long story short, I was going to work on QFTCS using the algebraic approach and probably focusing on the Unruh effect and black hole evaporation. The advisor did exactly the kind of work I like, but unfortunately he passed away, and by bureaucratic reasons, all professors who could advise on QFTCS were unavailable.

The only advisor that was available doesn't work with QFTCS. He proposed a work on the dynamics of extended bodies on GR applying Dixon's formalism derived in three articles from 1970. The main objective if I understood is going to be computing some examples, mostly toy models.

Reading the papers it seems to have some interesting differential geometry going on, but this somehow drifts from what I was interested initially. He even said that "not much GR knowledge is needed". I got the impression the work in the end boils down to learning a particular framework and solving some exercises with it with GR just on the background.

I was already said that "what I like doesn't matter", but I believe this kind of work must be a middle ground, both the advisor and student must have interest on the subject and the objectives. Furthermore, I've seem a bunch of master's thesis closer to the fundamental physics aspects and closer to the study of general structure of the theory and etc. So this isn't really a constraint of a master's thesis.

What I really wanted was QFTCS, but since this doesn't seem to be possible, I want to find a research topic inside this theme of dynamics of extended bodies in GR that ends up being closer to fundamental physics and closer to GR itself and which doesn't boil down just to applying the theory to solve some exercises. Could anyone give any suggestion of something? I believe if I find something in these lines, my advisor will agree with it.
 
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