Results 1 to 10 of about 20,706 (73)

A new look at loop quantum gravity [PDF]

open access: yes, 2010
I describe a possible perspective on the current state of loop quantum gravity, at the light of the developments of the last years. I point out that a theory is now available, having a well-defined background-independent kinematics and a dynamics ...
Alesci E   +36 more
core   +18 more sources

The Geometry of Black Hole singularities [PDF]

open access: yes, 2014
Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's at non-singular
Stoica, Ovidiu Cristinel
core   +3 more sources

Numerical Approaches to Spacetime Singularities [PDF]

open access: yes, 2002
This Living Review updates a previous version which its itself an update of a review article. Numerical exploration of the properties of singularities could, in principle, yield detailed understanding of their nature in physically realistic cases ...
A A Kirillov   +232 more
core   +3 more sources

Quantum Geometry and its Implications for Black Holes [PDF]

open access: yes, 2006
General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems.
Arnowitt R.   +7 more
core   +2 more sources

What is General Relativity? [PDF]

open access: yes, 2017
General relativity is a set of physical and geometric principles, which lead to a set of (Einstein) field equations that determine the gravitational field, and to the geodesic equations that describe light propagation and the motion of particles on the ...
Coley, Alan A., Wiltshire, David L.
core   +2 more sources

The Semiclassical Limit of Loop Quantum Cosmology [PDF]

open access: yes, 2001
The continuum and semiclassical limits of isotropic, spatially flat loop quantum cosmology are discussed, with an emphasis on the role played by the Barbero-Immirzi parameter \gamma in controlling space-time discreteness.
Ashtekar A   +20 more
core   +3 more sources

Simple quantum cosmology: Vacuum energy and initial state

open access: yes, 2005
A static non-singular 10-dimensional closed Friedmann universe of Planck size, filled with a perfect fluid with an equation of state with w = -2/3, can arise spontaneously by a quantum fluctuation from nothing in 11-dimensional spacetime.
D. Spergel   +8 more
core   +2 more sources

Can chaos be observed in quantum gravity?

open access: yes, 2017
Full general relativity is almost certainly 'chaotic'. We argue that this entails a notion of nonintegrability: a generic general relativistic model, at least when coupled to cosmologically interesting matter, likely possesses neither differentiable ...
Dittrich, Bianca   +3 more
core   +1 more source

Loop Quantum Cosmology: Recent Progress

open access: yes, 2004
Aspects of the full theory of loop quantum gravity can be studied in a simpler context by reducing to symmetric models like cosmological ones. This leads to several applications where loop effects play a significant role when one is sensitive to the ...
A Ashtekar   +35 more
core   +1 more source

A no-singularity scenario in loop quantum gravity

open access: yes, 2012
Canonical methods allow the derivation of effective gravitational actions from the behavior of space-time deformations reflecting general covariance.
Ashtekar A   +23 more
core   +1 more source

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