- #1

D.S.Beyer

- 50

- 2

- TL;DR Summary
- Can you approach the GR two body problem through summations of multiple Schwarzschild solutions?

Can you approach the GR two body problem through summations of multiple Schwarzschild solutions?

Specifically, by using the Schwarzschild metric for each body of mass, then adding the Christoffel symbols together, to arrive at a new geodesic equation.

Take point C between bodies A and B.

Solve the Schwarzschild metric for both A and B.

In relation to body A, point C has specific Christoffel symbols.

Similarly, in relation to body B, point C has different Christoffel symbols.

Before the geodesics are constructed, can you add these vectors together?

To get the average Christoffel symbols, and then use that to construct the geodesic?

Would such a geodesic help model the two body problem?

Or, and this is the most likely, is it worthless?

NOTE : I’m not a math guy (clearly) but I’m really enjoying thinking about and getting into the math. Thank you for your patience.

Specifically, by using the Schwarzschild metric for each body of mass, then adding the Christoffel symbols together, to arrive at a new geodesic equation.

Take point C between bodies A and B.

Solve the Schwarzschild metric for both A and B.

In relation to body A, point C has specific Christoffel symbols.

Similarly, in relation to body B, point C has different Christoffel symbols.

Before the geodesics are constructed, can you add these vectors together?

To get the average Christoffel symbols, and then use that to construct the geodesic?

Would such a geodesic help model the two body problem?

Or, and this is the most likely, is it worthless?

NOTE : I’m not a math guy (clearly) but I’m really enjoying thinking about and getting into the math. Thank you for your patience.