Exact Solution for Relativistic Two-Body Motion in Dilaton Gravity

Abstract

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.

6 pages, latex, 3 figures

References in corpus (2)

• Solving The N-Body Problem in (2+1)-Gravity
• Canonical reduction of two-dimensional gravity for Particle Dynamics

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• Supergravity from a Massive Superparticle and the Simplest Super Black Hole
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• Perturbative Quantum Gravity Coupled to Particles in (1+1)-Dimensions
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• One-Dimensional Relativistic Self-Gravitating Systems
• Chaos in a 3-body Self-Gravitating Cosmological Spacetime
• Thermodynamic properties of the one-dimensional Robin quantum well
• Dynamical Charged N-body Equilibrium in Circular Dilaton Gravity
• Newtonian approximation in (1 + 1) dimensions