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Exploring quantum geometry created by quantum matter
Abhay Ashtekar
Exactly soluble models can serve as excellent tools to explore conceptual issues in non-perturbative quantum gravity. In perturbative approaches, it is only the two radiative modes…
Probing cosmological singularities with quantum fields: Open and closed FLRW universes
Abhay Ashtekar, Adrián del Río
It was recently pointed out that linear quantum fields can be meaningfully propagated across the big bang (and the big crunch) singularities of spatially flat Friedmann…
Space-like Singularities of General Relativity: A Phantom menace?
Abhay Ashtekar, Adrián del Río, Marc Schneider
The big bang and the Schwarzschild singularities are space-like. They are generally regarded as the "final frontiers" at which space-time ends and general relativity breaks down. W…
Charges and Fluxes on (Perturbed) Non-expanding Horizons
Abhay Ashtekar, Neev Khera, Maciej Kolanowski +1
In a companion paper we showed that the symmetry group of non-expanding horizons (NEHs) is a 1-dimensional extension of the Bondi-Metzner-Sachs group …