Schools Choosing an adviser in graduate school

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Choosing the right supervisor for a PhD in theoretical physics is crucial for future academic job prospects. Established professors may have a strong historical reputation but lack recent publication activity, which could impact networking and current research relevance. In contrast, younger faculty members, often seen as "rising stars," are typically engaged in active research and trending topics, potentially offering better mentorship and connections in the field. Opting for a supervisor who is an active researcher is generally viewed as a more strategic choice for maximizing opportunities in academia post-PhD.
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I'm facing the question of choosing the right supervisor for my PhD in theoretical physics. On one hand, there are professors who are well-known and have done great work in their youth, but whose publication records in recent years are not great. On the other hand, there are young faculty members perceived as "rising stars" and are active researchers in currently popular topics. Which type of supervisors is a better choice, if I want to maximize my chance of getting job positions (if any :D) in academia after PhD?
 
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TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...
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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