1.8k citations · 4.2k across the 36 of their papers we have counts for
36 papers
Extended body dynamics in general relativity: hyperelastic models
Nishita Jadoo, J. David Brown, Charles R. Evans
We present a numerical framework for modeling extended hyperelastic bodies based on a Lagrangian formulation of general relativistic elasticity theory. We use finite element method…
Singular Lagrangians and the Dirac--Bergmann Algorithm in Classical Mechanics
J. David Brown
Textbook treatments of classical mechanics typically assume that the Lagrangian is nonsingular. That is, the matrix of second derivatives of the Lagrangian with respect to the velo…
Singular Lagrangians, Constrained Hamiltonian Systems and Gauge Invariance: An Example of the Dirac-Bergmann Algorithm
J. David Brown
The Dirac-Bergmann algorithm is a recipe for converting a theory with a singular Lagrangian into a constrained Hamiltonian system. Constrained Hamiltonian systems include gauge the…
Generalized geodesic deviation in de Sitter spacetime
Isaac Raj Waldstein, J. David Brown
The geodesic deviation equation (GDE) describes the tendency of objects to accelerate towards or away from each other due to spacetime curvature. The GDE assumes that nearby geodes…
Elasticity Theory in General Relativity
J. David Brown
The general relativistic theory of elasticity is reviewed from a Lagrangian, as opposed to Eulerian, perspective. The equations of motion and stress-energy-momentum tensor for a hy…
Continuous body dynamics and the Mathisson-Papapetrou-Dixon equations
S. P. Loomis, J. David Brown
We show that an effective particle Lagrangian yields the Mathisson-Papapetrou-Dixon (MPD) equations. The spin of the effective particle is defined without any reference to a fixed…