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Mechanics of higher-dimensional black holes in asymptotically anti-de Sitter space-times
Abhay Ashtekar, Tomasz Pawlowski, Chris Van Den Broeck
We construct a covariant phase space for Einstein gravity in dimensions d>=4 with negative cosmological constant, describing black holes in local equilibrium. Thus, space-times und…
Quantum Nature of the Big Bang: Improved dynamics
Abhay Ashtekar, Tomasz Pawlowski, Parampreet Singh
An improved Hamiltonian constraint operator is introduced in loop quantum cosmology. Quantum dynamics of the spatially flat, isotropic model with a massless scalar field is then st…
The Issue of the Beginning in Quantum Gravity
Abhay Ashtekar
The goal of this report is to provide an up to date account of results on the quantum nature of the big bang, obtained in loop quantum cosmology. They suggest a radical modificatio…
Gravity, Geometry and the Quantum
Abhay Ashtekar
After a brief introduction, basic ideas of the quantum Riemannian geometry underlying loop quantum gravity are summarized. To illustrate physical ramifications of quantum geometry,…
Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
Abhay Ashtekar, Tomasz Pawlowski, Parampreet Singh
Analytical and numerical methods are developed to analyze the quantum nature of the big bang in the setting of loop quantum cosmology. They enable one to explore the effects of qua…
Quantum Nature of the Big Bang
Abhay Ashtekar, Tomasz Pawlowski, Parampreet Singh
Some long standing issues concerning the quantum nature of the big bang are resolved in the context of homogeneous isotropic models with a scalar field. Specifically, the known res…