Spinning bodies in General Relativity

Abstract

A covariant hamiltonian formalism for the dynamics of compact spinning bodies in curved space-time in the test-particle limit is described. The construction allows a large class of hamiltonians accounting for specific properties and interactions of spinning bodies. The dynamics for a minimal and a specific non-minimal hamiltonian is discussed. An independent derivation of the equations of motion from an appropriate energy-momentum tensor is provided. It is shown how to derive constants of motion, both background-independent and background-dependent ones.

8 pages including references. New version: text rewritten and background material added. Results and conclusions unaltered. Version presented at the meeting "Variational Principles and Conservation Laws in General Relativity" (Torino, June 25 2015)

References in corpus (3)

• Canonical Formulation of Spin in General Relativity
• Covariant hamiltonian spin dynamics in curved space-time
• Spinning bodies in curved space-time

Cited by in corpus (7)

• Spinning bodies in curved space-time
• Spin Dependent Gravitational Tail Memory in $D=4$
• Motion of a spinning particle under the conservative piece of the self-force is Hamiltonian to first order in mass and spin
• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• An overview of the gravitational spin Hall effect
• Revisiting the dynamics of a charged spinning body in curved spacetime
• Spin-induced motion in black hole spacetime