Self-gravitating fluid solutions of Shape Dynamics

          @misc{ pirsa_PIRSA:17050080,
            doi = {10.48660/17050080},
            url = {https://pirsa.org/17050080},
            author = {Guariento, Daniel},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Self-gravitating fluid solutions of Shape Dynamics},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {may},
            note = {PIRSA:17050080 see, \url{https://pirsa.org}}
          }
          

Abstract

Shape Dynamics possesses a large set of solutions in common with General Relativity. Upon close inspection, these solutions behave in surprising ways, so in order to probe the fitness of Shape Dynamics as a viable alternative to General Relativity one must understand increasingly complex solutions, on which to base perturbative studies and numerical analyses. We show that a class of time-dependent exact solutions of Shape Dynamics exists from first principles, representing a central inhomogeneity in an evolving cosmological environment. By assuming only a perfect fluid source in a spherically symmetric geometry, we show that this solution satisfies in all generality the Hamiltonian structure of Shape Dynamics. The solutions are characterized by shear-free flow of the fluid and admit an interpretation as cosmological black holes.