Channel: Andrew Dotson

Category: Education

Tags: staticperturbationlinearized gravitygravitational potentialpoissontensorandrewmomentumweakgeodesicmajorfieldmetricphysicsdotsonchristoffelenergy

Description: Today I show how in the Newtonian limit, we're able to relate the metric tensor to the gravitational potential. We do this by imposing a static weak field metric, and see how this affects the geodesic equation. This will be one of many useful pieces of information we can use to argue what Einstein's Field Equations will be. This series is based off of the book "Tensor Calculus for Physics" by Dwight Neuenschwander amazon.com/gp/product/1421415658/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1421415658&linkCode=as2&tag=andrewdotson-20&linkId=b45243268a957a6cfdfc854a8f677a58 0:00 Introduction 1:50 Geodesic Equation 3:20 Newtonian Limit 5:40 Static Weak-Field Metric 12:30 Comparing Geodesic Equation with Free Fall Equation 15:05 Relating the SWF Metric to Gravitational Potential 15:42 Final Comments and Conclusion