Exact solution for relativistic two-body motion in dilaton gravity

R B Mann, T Ohta
1997 Classical and quantum gravity  
We present an exact solution to the problem of the relativistic motion of 2 point masses in (1+1) dimensional dilaton gravity. The motion of the bodies is governed entirely by their mutual gravitational influence, and the spacetime metric is likewise fully determined by their stress-energy. A Newtonian limit exists, and there is a static gravitational potential. Our solution gives the exact Hamiltonian to infinite order in the gravitational coupling constant.
doi:10.1088/0264-9381/14/5/027 fatcat:rflsjczz6zgrzkvdjohfsl4exa