Results 1 to 10 of about 20,671 (67)

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

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

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

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

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 gravity corrections to gravitational wave dispersion [PDF]

open access: yes, 1997
Cosmological tensor perturbations equations are derived for Hamiltonian cosmology based on Ashtekar's formulation of general relativity, including typical quantum gravity effects in the Hamiltonian constraint as they are expected from loop quantum ...
Bojowald, Martin, Hossain, Golam Mortuza
core   +3 more sources

Relational Motivation for Conformal Operator Ordering in Quantum Cosmology

open access: yes, 2009
Operator-ordering in quantum cosmology is a major as-yet unsettled ambiguity with not only formal but also physical consequences. We determine the Lagrangian origin of the conformal invariance that underlies the conformal operator-ordering choice in ...
Anderson, Edward
core   +1 more source

Loop Quantum Gravity: Four Recent Advances and a Dozen Frequently Asked Questions

open access: yes, 2007
As per organizers' request, my talk at the 11th Marcel Grossmann Conference consisted of two parts. In the first, I illustrated recent advances in loop quantum gravity through examples.
Ashtekar, Abhay
core   +1 more source

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

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