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The proposal of the possibility of change of signature in quantum cosmology has led to the study of this phenomenon in classical general relativity theory, where there has been some controversy about what is and is not possible. We here…

General Relativity and Quantum Cosmology · Physics 2014-11-17 M. Carfora , G. F. R. Ellis

We investigate the behaviour of quantum fields coupled to a spacetime geometry exhibiting finite regions of Euclidean (Riemannian) signature. Although from a gravity perspective this situation might seem somewhat far fetched, we will…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Silke Weinfurtner , Angela White , Matt Visser

We show in this article how the usual hamiltonian formalism of General Relativity should be modified in order to allow the inclusion of the Euclidean classical solutions of Einstein's equations. We study the effect that the dynamical change…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Jerome Martin

Signature change at high density has been obtained as a possible consequence of deformed space-time structures in models of loop quantum gravity. This article provides a conceptual discussion of implications for cosmological scenarios,…

General Relativity and Quantum Cosmology · Physics 2016-01-19 Martin Bojowald , Jakub Mielczarek

Emergent modified gravity presents a new class of gravitational theories in which the structure of space-time with Riemannian geometry of a certain signature is not presupposed. Relying on crucial features of a canonical formulation, the…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Martin Bojowald , Erick I. Duque , Dennis Hartmann

Getting signatures of quantum gravity is one of the topical lines of research in modern theoretical physics and cosmology. This short review faces this challenge under a novel perspective. Instead of separating quantum-gravity effects of a…

General Relativity and Quantum Cosmology · Physics 2017-10-24 Gianluca Calcagni

Theoretical possibilities of models of gravity with dynamical signature are discussed. The different scenarios of the signature change are proposed in the framework of Einstein-Cartan gravity. We consider, subsequently, the dynamical…

General Relativity and Quantum Cosmology · Physics 2022-09-13 S. Bondarenko

Models of loop quantum gravity based on real connections have a deformed notion of general covariance, which leads to the phenomenon of signature change. This result is confirmed here in a general analysis of all midisuperspace models…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Martin Bojowald , Suddhasattwa Brahma

Signature change has been identified as a generic consequence of holonomy modifications in spherically symmetric models of loop quantum gravity with real connections, which includes modified Schwarzschild solutions. Here, this result is…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Martin Bojowald , Suddhasattwa Brahma

We revisit the classical and quantum cosmology of a universe in which a self interacting scalar field is coupled to gravity with a flat FRW type metric undergoing continuous signature transition. We arrange for quantum cosmologically…

General Relativity and Quantum Cosmology · Physics 2009-11-10 F. Darabi , A. Rastkar

Canonical quantum gravity provides insights into the quantum dynamics as well as quantum geometry of space-time by its implications for constraints. Loop quantum gravity in particular requires specific corrections due to its quantization…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Martin Bojowald

We explore the possibility of testing the quantum nature of the gravitational field with an ensemble of ultra-cold atoms. The use of many microscopic particles may circumvent some of the experimental obstacles encountered in recent…

Quantum Physics · Physics 2021-03-19 Simon A. Haine

In these two lectures I describe the difficulties one encounters when trying to construct a framework in which to describe topology change in classical general relativity where one sticks to the assumption of an everywhere non-singular…

General Relativity and Quantum Cosmology · Physics 2011-10-05 G. W. Gibbons

Cosmological perturbations on a manifold admitting signature change are studied. The background solution consists in a Friedmann-Lemaitre-Robertson- Walker (FLRW) Universe filled by a constant scalar field playing the role of a cosmological…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jerome Martin

The idea that quantum gravity manifestations would be associated with a violation of Lorentz invariance is very strongly bounded and faces serious theoretical challenges. This leads us to consider an alternative line of thought for such…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alejandro Corichi , Daniel Sudarsky

Boundary conditions play a crucial role in the path-integral approach to quantum gravity and quantum cosmology, as well as in the current attempts to understand the one-loop semiclassical properties of quantum field theories. Within this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ivan G. Avramidi , Giampiero Esposito

We revisit the issue of continuous signature transition from Euclidean to Lorentzian metrics in a cosmological model described by FRW metric minimally coupled with a self interacting massive scalar field. Then, using a noncommutative phase…

General Relativity and Quantum Cosmology · Physics 2013-03-19 T. Ghaneh , F. Darabi , H. Motavalli

A mechanism producing the transition from an Euclidean to a Loretzian manifold is described. A global Robertson-Walker symmetry is assumed from the large scale data of the visible universe. Allowing for the strain of the manifold as an…

General Relativity and Quantum Cosmology · Physics 2012-07-17 Angelo Tartaglia

The search for a quantum theory of gravity has been one of the main aims of theoretical physics for many years by now. However the efforts in this direction have been often hampered by the lack of experimental/observational tests able to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Liberati

As a canonical and generally covariant gauge theory, loop quantum gravity requires special techniques to derive effective actions or equations. If the proper constructions are taken into account, the theory, in spite of considerable…

General Relativity and Quantum Cosmology · Physics 2013-08-02 Martin Bojowald
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