N ov 1 99 8 Exact Relativistic Two - Body Motion in Lineal Gravity
نویسندگان
چکیده
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.
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