24 citations · 95 across the 11 of their papers we have counts for
7 papers · 1 filter
One-Dimensional Relativistic Self-Gravitating Systems
Robert B. Mann
One of the oldest problems in physics is that of calculating the motion of particles under a specified mutual force: the -body problem. Much is known about this problem if t…
3-Body Dynamics in a (1+1) Dimensional Relativistic Self-Gravitating System
J. J. Malecki, R. B. Mann
The results of our study of the motion of a three particle, self-gravitating system in general relativistic lineal gravity is presented for an arbitrary ratio of the particle masse…
Chaos in an Exact Relativistic 3-body Self-Gravitating System
F. J. Burnell, J. J. Malecki, R. B. Mann +1
We consider the problem of three body motion for a relativistic one-dimensional self-gravitating system. After describing the canonical decomposition of the action, we find an exac…
Energy for N-Body Motion in Two Dimensional Gravity
R. B. Mann, G. Potvin, M. Raiteri
A general definition of energy is given, via the Nöther theorem, for the N-body problem in (1+1) dimensional gravity. Within a first-order Lagrangian framework, the density of ener…
Exact Solutions to the Motion of Two Charged Particles in Lineal Gravity
R. B. Mann, D. Robbins, T. Ohta +1
We extend the canonical formalism for the motion of -particles in lineal gravity to include charges. Under suitable coordinate conditions and boundary conditions the determining…
Gravitation and Cosmology in Generalized (1+1)-dimensional dilaton gravity
J. S. F. Chan, R. B. Mann
The actions of the ``'' and string-inspired theories of gravity in (1+1) dimensions are generalized into one single action which is characterized by two functions. We discuss…