Exact Relativistic Two-Body Motion in Lineal Gravity

Details Exact Relativistic Two-Body Motion in Lineal Gravity Exact Relativistic Two-Body Motion in Lineal Gravity

1998-11-18

arxiv.org/abs/gr-qc/9811061v2

Phys.Rev.Lett.82:3738-3741,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex, 11 pages, 2 figures, final version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.82.3738

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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