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19952023
most citedHamilton's approach in cosmological inflation with an exponential potential and its observational constraints

78 citations · 500 across the 49 of their papers we have counts for

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gr-qc2023

Noncommutative effective LQC: A (pre-)inflationary dynamics investigation

Luis Rey Díaz-Barrón, Abraham Espinoza-García, S. Pérez-Payán +1

We conduct a (pre-)inflationary dynamics study within the framework of a simple noncommutative extension of effective loop quantum cosmology -- put forward recently by the authors…

gr-qc2023★ 20 cited

Quantum fractionary cosmology: K-essence theory

J. Socorro, J. Juan Rosales

Using a particular form of the quantum K-essence scalar field, we show that in the quantum formalism, a fractional differential equation in the scalar field variable, for some epoc…

gr-qc2022★ 5 cited

Quintom fields from chiral anisotropic cosmology

J. Socorro, S. Pérez-Payán, Rafael Hernández-Jiménez +2

In this paper we present an analysis of a chiral anisotropic cosmological scenario from the perspective of quintom fields. In this setup quintessence and phantom fields interact in…

gr-qc2021★ 5 cited

Noncommutative Effective LQC: inclusion of potential term

Luis Rey Díaz-Barrón, Abraham Espinoza-García, S. Pérez-Payán +1

We construct and study a simple noncommutative scheme (theta-deformation) for the effective Loop Quantum Cosmology of the flat Friedmann-Lemaître-Robertson-Walker model in the pres…

gr-qc2021★ 8 cited

Anisotropic chiral cosmology: exact solutions

Luis Rey Díaz-Barrón, Abraham Espinoza-García, S. Pérez-Payán +1

In this work, we investigate the anisotropic Bianchi type I cosmological model in the chiral setup, in a twofold manner. Firstly, we consider a quintessence plus a k-essence like m…

gr-qc2020★ 16 cited

Classical and quantum exact solutions for a FRW in chiral like cosmology

J. Socorro, S. Pérez-Payán, Rafael Hernández +2

In this work, first, we study a flat Friedmann-Robertson-Walker Universe with two scalar fields but only one potential term, which can be thought as a simple quintessence plus a K-…

gr-qc2019★ 2 cited

Cosmological volume acceleration in dust epoch: using scaling solutions and variable cosmological term within an anisotropic cosmological model

J. Socorro, S. Pérez-Payán, Abraham Espinoza-García +1

Under the premise that the current observations of the cosmic microwave background radiation set a very stringent limit to the anisotropy of the universe, we consider an anistropic…

gr-qc2019

Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation

j. Socorro, Omar E. Núñez, Rafael Hernández-Jiménez

The anisotropic Bianchi type I in multi-scalar field cosmology is studied with a particular potential of the form whic…

gr-qc2018★ 78 cited

Hamilton's approach in cosmological inflation with an exponential potential and its observational constraints

Omar E. Núñez, J. Socorro, Rafael Hernández-Jiménez

The Friedmann-Robertson-Walker (FRW) cosmology is analyzed with a general potential in the scalar field inflation scenario. The Bohmian approach (a WKB-like formalism) w…

gr-qc2018

Cosmologies with scalar fields from higher dimensions applied to Bianchi type model: classical and quantum solutions

J. Socorro, L. Toledo Sesma, Luis O. Pimentel

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 toru…

gr-qc2017★ 1 cited

Cosmological super inflation using Hamilton's approach

Omar E. Núñez, J. Socorro, José Venegas

The Friedmann-Robertson-Walker (FRW) cosmology is analyzed with a particular potential in the quintessence field scenario, which emerges in the super…

gr-qc2017★ 2 cited

Scalar potentials with Multi-scalar fields from quantum cosmology and supersymmetric quantum mechanics

J. Socorro, Omar E. Núñez

The Multi-scalar field cosmology of the anisotropic Bianchi type I model is used in order to construct a family of potentials that are the best suited to model the inflation phenom…

gr-qc2013★ 12 cited

Quintom potentials from quantum cosmology using the FRW cosmological model

J. Socorro, Priscila Romero, Luis O. Pimentel +1

We construct the quintom potential of dark energy models in the framework of spatially flat Friedmann-Robertson Walker universe in the inflationary epoch, using the Bohm like appro…

gr-qc2013★ 1 cited

FRW in cosmological self-creation theory: Hamiltonian approach

Rafael Hernández, Juan M. Ramírez, J. Socorro

We use the Brans-Dicke theory from the framework of General Relativity (Einstein frame), but now the total energy momentum tensor fulfills the following condition $\rm[\frac{1}ϕ(8π…

gr-qc2012★ 1 cited

Quintom phase-space: beyond the exponential potential

Genly Leon, Yoelsy Leyva, J. Socorro

We investigate the phase-space structure of the quintom dark energy paradigm in the framework of spatially flat and homogeneous universe. Considering arbitrary decoupled potentials…

gr-qc2010★ 13 cited

Inflation from Supersymmetric Quantum Cosmology

J. Socorro, Marco D'Oleire

We derive a special scalar field potential using the anisotropic Bianchi type I cosmological model from canonical quantum cosmology under determined conditions in the evolution to…

gr-qc2009★ 12 cited

Scalar field in the Bianchi I: Non commutative classical and Quantum Cosmology

J. Socorro, Luis O. Pimentel, C. Ortiz +1

Using the ADM formalism in the minisuperspace, we obtain the commutative and noncommutative exact classical solutions and exact wave function to the Wheeler-DeWitt equation with an…

gr-qc2009★ 5 cited

Classical and quantum Cosmology of the Sáez-Ballester theory

J. Socorro, M. Sabido, L. Arturo Ureña-López

We study the generalization of the Sáez-Ballester theory applied to a flat FRW cosmological model. Classical exact solutions up to quadratures are easily obtained using the Hamilto…

gr-qc2008★ 34 cited

On Noncommutative Minisuperspace and the Friedmann equations

W. Guzmán, M. Sabido, J. Socorro

In this paper we present noncommutative version of scalar field cosmology. We find the noncommutative Friedmann equations as well as the noncommutative Klein-Gordon equation. Inter…

gr-qc2007★ 27 cited

Noncommutivity and Scalar Field Cosmology

W. Guzmán, M. Sabido, J. Socorro

In this work we extend and apply a previous proposal to study noncommutative cosmology to the FRW cosmological background coupled to a scalar field, this is done in classical and q…

gr-qc2007★ 20 cited

Non Commutative Bianchi type II Quantum Cosmology

M. Aguero, J. A. Aguilar S., C. Ortiz +2

In this paper we present the noncommutative Bianchi Class A cosmological models coupled to barotropic perfect fluid. The commutative and noncommutative quantum solution to the Whee…

gr-qc2007★ 8 cited

(Non)commutative isotropization in Bianchi I with Barotropic perfect fluid and Cosmological

C. Ortiz, E. Mena-Barboza, M. Sabido +1

We present the classical solutions to the Einstein field equations derived using the WKB-like and Hamilton procedures. The investigation is carried out in the commutative and nonco…

gr-qc2006★ 2 cited

The Einstein-Hamilton-Jacobi equation: Searching the classical solution for barotropic FRW

S. R. Berbena, A. V. Berrocal, J. Socorro +1

The dynamical evolution of the scale factor of FRW cosmological model is presented, when the equation of state of the material content assume the form , ,…

gr-qc2005★ 15 cited

Scalar potentials out of canonical quantum cosmology

W. Guzman, M. Sabido, J. Socorro +1

Using canonical quantization of a flat FRW cosmological model containing a real scalar field endowed with a scalar potential , we are able to obtain exact and semiclassic…