How mathy are gravitational waves?

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Graduate students in physics, particularly those with a passion for general relativity (GR), face the challenge of balancing their love for theoretical concepts with practical job prospects. The discussion highlights the potential shift from pure gravity theory to gravitational wave physics, emphasizing the importance of maintaining a strong mathematical foundation. While transitioning to gravitational waves may raise concerns about losing engagement with favorite mathematical concepts like diffeomorphisms and groups, the field still offers substantial mathematical depth. It is suggested that students explore job availability in their area of interest, considering that some fields may be more accommodating to master's level graduates, while others typically require a PhD. Pursuing a master's degree and seeking employer support for further education is also a viable strategy. Overall, the conversation underscores the significance of aligning personal interests with career opportunities without sacrificing one's passion for mathematics.
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I'm about to head off to graduate school and (like many other physics students) I love theory, and especially GR, which is what my undergraduate research has been in.

But, I'm also aware of the limitations on eventually finding a job. I'd eventually like to work. So, I've been tossing around the idea of leaning more towards gravitational wave physics than just pure gravity theory. However, I also love math (pure math) and am wondering - if I move to gravitational waves, will I have to say goodbye to my favorite mathematical objects (diffeomorphisms, groups, etc) forever? Because that would make me sad... I LOVE the math in GR; in fact, I'm pretty sure that's mostly why I love GR...

any thoughts?
 
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i have no idea how mathy gravitational waves can be, but i would say you should get a more practical education to get work.
 
Don't make a major decision to give up studying something you really love.

At least make a good faith effort to learn what types of research and the numbers of jobs are available in your area. Certain areas are more forgiving to masters level graduates while others may typically require PHD's. One apparoach could be to find work at the Masters level and let your employer support you while you work towards your PHD.
 
Unless you decide to move towards the experimental part of gravitational wave research (i.e., trying to see them), you won't have to give up any math. Any purely theoretical subject like this will contain enough math to keep just about anyone happy (although I'm not quite sure where the group theory would fit in, but it has a tendency to creep in anything)
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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