Exact Solution for Relativistic Two-Body Motion in Dilaton Gravity

Details Exact Solution for Relativistic Two-Body Motion in Dilaton Gravity Exact Solution for Relativistic Two-Body Motion in Dilaton Gravity

1996-07-05

arxiv.org/abs/gr-qc/9607016v1

Class.Quant.Grav. 14 (1997) 1259-1266

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, latex, 3 figures

Scientific paper

10.1088/0264-9381/14/5/027

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.

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