Self-gravitating fluid solutions of Shape Dynamics
APA
Guariento, D. (2017). Self-gravitating fluid solutions of Shape Dynamics. Perimeter Institute. https://pirsa.org/17050080
MLA
Guariento, Daniel. Self-gravitating fluid solutions of Shape Dynamics. Perimeter Institute, May. 15, 2017, https://pirsa.org/17050080
BibTex
@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}} }
Conestoga College
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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.