Ethics, metaphysics, and epistemology aren’t PhD programs. They are subdisciplines that one might study while getting a degree in philosophy. Similarly, there aren’t programs dedicated to time and/or reincarnation. One could study philosophy of time as part of a PhD program in philosophy or the implications of relativity theory for time as part of a PhD program in physics. Similarly, you could probably study historical views about reincarnation as part of a PhD program in religious studies. But without more information about what specifically you are interested in learning about, it’s hard to match your interests to a course of study.
That said, I’m not sure a formal PhD program is really what you want. You don’t need a PhD program to learn about something, and you don’t need to get an actual PhD to become an expert. A PhD is a job credential that says you’ve had a particular sort of training in a subject and are therefore prepared for jobs that require the skills that training provides. Most people don’t need those extra skills, even if the program’s subject matter is otherwise relevant to their line of work. For most practical work, a bachelor’s or master’s degree is enough. The PhD is for people who want their careers to focus on the research side of their profession.