- #1

- 21

- 5

- TL;DR Summary
- Do theoretical physicists prefer using tensors over differential forms today? What are the advantages of one over the other?

There are a few different textbooks out there on differential geometry geared towards physics applications and also theoretical physics books which use a geometric approach. Yet they use different approaches sometimes. For example kip thrones book “modern classical physics” uses a tensor approach, yet Gravitation by Wheeler uses differential forms. Frankel “Geometry of Physics” uses Differential Forms, and Chris Isham “Modern differential geometry for physicists” uses differential forms.

What are the advantages of one over the other? Do theoretical physicists today tend to prefer one over the other and is it field specific? Is there a trend for one approach? Could Kip Thorne book “modern classical physics” be rewritten in differential forms and how much shorter would the book be after that. I know mathematicians have mostly adopted the approach of differential forms. Also if you know anything of these books I mentioned or any others that would be great to hear your comment. I just want to stay current with what tools and approaches theoretical physicists are using today.

What are the advantages of one over the other? Do theoretical physicists today tend to prefer one over the other and is it field specific? Is there a trend for one approach? Could Kip Thorne book “modern classical physics” be rewritten in differential forms and how much shorter would the book be after that. I know mathematicians have mostly adopted the approach of differential forms. Also if you know anything of these books I mentioned or any others that would be great to hear your comment. I just want to stay current with what tools and approaches theoretical physicists are using today.