Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 309 / 1 / a / i

Table of contents
- Solution i

Solution

The proper time elapsed along the smooth timelike curve is

T [γ] = \int_{0}^{1} - g_{μν} (x (s)) \frac{d x ^{μ}}{d s} \frac{d x ^{ν}}{d s} d s .

The expression is invariant under every orientation-preserving reparametrization of the curve.

 Ancestors (11)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version