Investigation of symmetries and conserved charges in general relativity

• Main Author: Ray, Sourya
• Language: ENG
• Published: ScholarWorks@UMass Amherst 2008
• Subjects: Theoretical physics
• Online Access: https://scholarworks.umass.edu/dissertations/AAI3336966

This thesis presents a series of results relating to conserved charges in general relativity. In particular, we give a general expression for a gravitational charge corresponding to a boost Killing vector. Further, we use Hamiltonian perturbative techniques to obtain generalizations of the first law of black hole mechanics pertaining to accelerated black holes, stationary Kaluza-Klein black holes and static Kaluza-Klein bubble spacetimes. Finally, we present a generalized Hamiltonian formulation of gravity adapted to a higher dimension splitting of spacetime, motivated by the physics of branes.