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Publications Influence

Background independent quantum gravity: A Status report

- A. Ashtekar, J. Lewandowski
- Physics, Mathematics
- 5 April 2004

The goal of this review is to present an introduction to loop quantum gravity—a background-independent, non-perturbative approach to the problem of unification of general relativity and quantum… Expand

1,182 94- PDF

Quantum Nature of the Big Bang: Improved dynamics

- A. Ashtekar, T. Pawłowski, P. Singh
- Physics
- 10 July 2006

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 studied in detail… Expand

750 71- PDF

Lectures on Non-Perturbative Canonical Gravity

- A. Ashtekar
- Physics
- 1991

Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of… Expand

806 64

Loop Quantum Cosmology: A Status Report

- A. Ashtekar, P. Singh
- Physics
- 3 August 2011

Loop quantum cosmology (LQC) is the result of applying principles of loop quantum gravity (LQG) to cosmological settings. The distinguishing feature of LQC is the prominent role played by the quantum… Expand

661 56- PDF

Mathematical structure of loop quantum cosmology

- A. Ashtekar, M. Bojowald, J. Lewandowski
- Physics, Mathematics
- 21 April 2003

Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big… Expand

622 51- PDF

Representation Theory of Analytic Holonomy C* Algebras

- A. Ashtekar, J. Lewandowski
- Physics, Mathematics
- 7 November 1993

Integral calculus on the space of gauge equivalent connections is developed. Loops, knots, links and graphs feature prominently in this description. The framework is well--suited for quantization of… Expand

321 42- PDF

Asymptotically anti-de Sitter space-times

- A. Ashtekar, A. Magnon
- Physics
- 11 July 1984

The structure of the gravitational field at infinity of asymptotically anti-de Sitter space-time is analysed in detail using conformal techniques. It is found that the situation differs from that in… Expand

328 36

Quantum geometry of isolated horizons and black hole entropy

- A. Ashtekar, J. Baez, K. Krasnov
- Physics
- 29 May 2000

Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting… Expand

466 29- PDF

Quantum Theory of Geometry II: Volume operators

- A. Ashtekar, J. Lewandowski
- Physics
- 10 November 1997

Abhay Ashtekar, Jerzy Lewandowski 1 Center for Gravitational Physics and Geometry Department of Physics, Penn State, University Park, PA 16802-6300, USA 2 Instytut Fizyki Teoretycznej, Uniwersytet… Expand

458 28- PDF

Isolated horizons: Hamiltonian evolution and the first law

- A. Ashtekar, S. Fairhurst, B. Krishnan
- Physics
- 18 May 2000

A framework was recently introduced to generalize black hole mechanics by replacing stationary event horizons with isolated horizons. That framework is significantly extended. The extension is… Expand

253 28- PDF