Exact Relativistic Two-Body Motion in Lineal Gravity
arXiv:gr-qc/9811061 · doi:10.1103/PhysRevLett.82.3738
Abstract
We consider the N-body problem in (1+1) dimensional lineal gravity. For 2 point masses (N=2) we obtain an exact solution for the relativistic motion. In the equal mass case we obtain an explicit expression for their proper separation as a function of their mutual proper time. Our solution gives the exact Hamiltonian to infinite order in the gravitational coupling constant.
latex, 11 pages, 2 figures, final version to appear in Phys. Rev. Lett
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