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Hidden symmetry group for particle orbits (timelike geodesics) in Schwarzschild spacetime
Stephen C. Anco, Mahdieh Gol Bashmani Moghadam
For the timelike geodesic equations in Schwarzschild spacetime, three hidden conserved quantities were found recently, which are analogues of dynamical quantities related to the we…
Analogue of a Laplace-Runge-Lenz vector for particle orbits (timelike geodesics) in Schwarzschild spacetime
Stephen C. Anco, Jordan Fazio
In Schwarzschild spacetime, the timelike geodesic equations, which define particle orbits, have a well-known formulation as a dynamical system in coordinates adapted to the timelik…
Mean curvature flow and quasilocal mass for two-surfaces in Hamiltonian General Relativity
Stephen C. Anco
A family of quasilocal mass definitions that includes as special cases the Hawking mass and the Brown-York ``rest mass'' energy is derived for spacelike 2-surfaces in spacetime. Th…
Parity violating spin-two gauge theories
Stephen C. Anco
Nonlinear covariant parity-violating deformations of free spin-two gauge theory are studied in n>2 spacetime dimensions, using a linearized frame and spin-connection formalism, for…
On multi-graviton and multi-gravitino gauge theories
Stephen C. Anco
This paper studies nonlinear deformations of the linear gauge theory of any number of spin-2 and spin-3/2 fields with general formal multiplication rules in place of standard Grass…
Properties of the symplectic structure of General Relativity for spatially bounded spacetime regions
Stephen C. Anco, Roh S. Tung
We continue a previous analysis of the covariant Hamiltonian symplectic structure of General Relativity for spatially bounded regions of spacetime. To allow for near complete gener…