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Gauge invariant local observables describing primordial scalar quantum fluctuations in Inflationary Cosmology are identified as elements of a type $II$ de Sitter crossed product algebra. This algebra is defined, after adding a reference…

High Energy Physics - Theory · Physics 2023-04-25 Cesar Gomez

Two manifestations of decoherence, called instantaneous and dynamical, are investigated. The former reflects the suppression of the interference between the components of the current state while the latter reflects that within the initial…

Quantum Physics · Physics 2018-04-04 Janos Polonyi

We couple to group field theory (GFT) a scalar field that encodes the entanglement between manifold sites. The scalar field provides a relational clock that enables the derivation of the Hamiltonian of the system from the GFT action.…

High Energy Physics - Theory · Physics 2024-07-26 Jinglong Liu , Stephon Alexander , Antonino Marciano , Roman Pasechnik

Nowadays it is widely accepted that the evolution of the universe was driven by some scalar degrees of freedom both on its early stage and at present. The corresponding cosmological models often involve some scalar fields introduced ad hoc.…

High Energy Physics - Theory · Physics 2015-06-15 E. A. Davydov , A. T. Filippov

A Lorentz and general co-ordinate co-variant form of canonical gravity, using Ashtekar's variables, is investigated. A co-variant treatment due to Crnkovic and Witten is used, in which a point in phase space represents a solution of the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Brian P. Dolan , Kevin P. Haugh

We consider the superposition of two semiclassical solutions of the Wheeler-DeWitt equation for a de Sitter universe, describing a quantized scalar vacuum propagating in a universe that is contracting in one case and expanding in the other,…

General Relativity and Quantum Cosmology · Physics 2019-01-11 Marcello Rotondo , Yasusada Nambu

A linear analytical solution is derived for the gravitational shock wave produced by a particle of mass $M$ that decays into a pair of null particles. The resulting space-time is shown to be unperturbed and isotropic, except for a…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Kris Mackewicz , Craig Hogan

Starting from a constrained real $BF$-type action for general relativity that includes both the Immirzi parameter and the cosmological constant, we obtain the Ashtekar-Barbero variables used in the canonical approach to the quantization of…

General Relativity and Quantum Cosmology · Physics 2016-05-05 Mariano Celada , Merced Montesinos , Jorge Romero

The geodesic deviation equation (`GDE') provides an elegant tool to investigate the timelike, null and spacelike structure of spacetime geometries. Here we employ the GDE to review these structures within the…

General Relativity and Quantum Cosmology · Physics 2022-03-14 George F R Ellis , Henk van Elst

The self-duality equations for the Riemann tensor are studied using the Ashtekar Hamiltonian formulation for general relativity. These equations may be written as dynamical equations for three divergence free vector fields on a three…

High Energy Physics - Theory · Physics 2010-04-06 Viqar Husain

Quantum coherence in curved spacetime offers a fresh window into the interplay between gravity, thermality, and quantum resources. While previous work has shown that Markovian evolution can generate entanglement and other nonclassical…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Samira Elghaayda , Atta ur Rahman , Mostafa Mansour

Gravitational waves (GWs) induced by scalar curvature fluctuations are an important source of the cosmological GW background and a crucial counterpart of the primordial black hole scenario. However, doubts have been cast on the…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Guillem Domènech , Misao Sasaki

Bimetric variational formalism was recently employed to construct novel bimetric gravity models. In these models an affine connection is generated by an additional tensor field which is independent of the physical metric. In this work we…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Alexey Golovnev , Mindaugas Karciauskas , Hannu J. Nyrhinen

We describe a method of construction of gauge-invariant operators (Dirac observables or ``evolving constants of motion'') from the knowledge of the eigenstates of the gauge generator in time-reparametrization invariant mechanical systems.…

General Relativity and Quantum Cosmology · Physics 2020-04-07 Leonardo Chataignier

We give an SU(2) covariant representation of the constraints of Euclidean general relativity in the Ashtekar variables. The guiding principle is the use of triads to transform all free spatial indices into SU(2) indices. A central role is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Glenn Barnich , Viqar Husain

We investigate the spin-1/2 relativistic quantum dynamics in the curved space-time generated by a central massive charged object (black hole). This necessitates a study of the coupling of a Dirac particle to the Reissner-Nordstrom…

General Relativity and Quantum Cosmology · Physics 2016-04-01 J. H. Noble , U. D. Jentschura

We show that the reality conditions to be imposed on Ashtekar variables to recover real gravity can be implemented as second class constraints a la Dirac. Thus, counting gravitational degrees of freedom follows accordingly. Some constraints…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Hugo A. Morales-Tecotl , Luis F. Urrutia , J. David Vergara

This paper considers gauge-invariant and covariant gravitational perturbations on arbitrary vacuum locally rotationally symmetric (LRS) class II space-times. Ultimately, we derive four decoupled equations governing four specific…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Burston

In this work we construct an effective four-dimensional model by compactifying a ten-dimensional theory of gravity coupled with a real scalar dilaton field on a time-dependent torus without the contributions of fluxes as first…

General Relativity and Quantum Cosmology · Physics 2019-11-21 J. Socorro , L. Toledo Sesma

It has recently been reported [\textit{PNAS} \textbf{114}, 2303 (2017)] that, under an operational definition of time, quantum clocks would get entangled through gravitational effects. Here we study an alternative scenario: the clocks have…

Quantum Physics · Physics 2019-11-14 Jieci Wang , Tonghua Liu , Jiliang Jing , Songbai Chen
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