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Investigation of symmetries and conserved charges in general relativity

Sourya Ray, University of Massachusetts Amherst


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.

Subject Area

Theoretical physics

Recommended Citation

Ray, Sourya, "Investigation of symmetries and conserved charges in general relativity" (2008). Doctoral Dissertations Available from Proquest. AAI3336966.