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In this paper, we explore the the phase transition, critical behavior and microstructure of the FRW in the framework of a new higher order generalized uncertainty principle. Our initial step involves deriving the equation of state by…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Zhong-Wen Feng , Shi-Yu Li , Xia Zhou , Haximjan Abdusattar

In loop quantum cosmology, Friedmann-LeMaitre-Robertson-Walker (FLRW) space-times arise as well-defined approximations to specific \emph{quantum} geometries. We initiate the development of a quantum theory of test scalar fields on these…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Abhay Ashtekar , Wojciech Kaminski , Jerzy Lewandowski

Quantum cosmology of the Friedmann-Lema\^{i}tre-Robertson-Walker model with cosmological constant in the Ho$\check{\rm r}$ava-Lifshitz type gravity is studied in the phase space by means of the Wigner function. The modification of the usual…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Ruben Cordero , Hugo Garcia-Compean , Francisco J. Turrubiates

Relations between the Friedmann observables of the expanding Universe and the Dirac observables in the generalized Hamiltonian approach are established for the Friedmann cosmological model of the Universe with the field excitations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. A. Gogilidze , A. M. Khvedelidze , V. V. Papoyan , Yu. G. Palii , V. N. Pervushin

We apply the idea of using a matter time gauge in quantum gravity to quantum cosmology. For the Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe with dust and cosmological constant $\Lambda$, we show that the dynamics maps exactly to the…

General Relativity and Quantum Cosmology · Physics 2018-10-10 Masooma Ali , Syed Moeez Hassan , Viqar Husain

We study the quantum vacuum fluctuations around closed Friedmann-Robertson-Walker (FRW) radiation-filled universes with nonvanishing cosmological constant. These vacuum fluctuations are represented by a conformally coupled massive scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. Bouhmadi-Lopez , L. J. Garay , P. F. Gonzalez-Diaz

We consider an expanding relativistic fluid with spherical symmetry as a model for an analog FRW spacetime. In the framework of relativistic acoustic geometry we demonstrate how to mimic an arbitrary FRW spacetime with positive, zero or…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Neven Bilic , Dijana Tolic

We present a theoretical analysis of the WDW approach to quantum cosmology extended to gravity theories with torsion. The dynamics of the FLRW universe is formulated as a classical Hamiltonian problem of point particle mechanics. Unlike in…

General Relativity and Quantum Cosmology · Physics 2026-04-17 David Vasak , Johannes Kirsch , Juergen Struckmeier

Assuming the space dimension is not constant, but varies with the expansion of the Universe, a Lagrangian formulation for a toy model Universe is given. There is a free paremeter in the theory, $C$, with which we can fix the dimension of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Reza Mansouri , Forough Nasseri

We study the modified Friedmann equation in the Friedmann-Robertson-Walker universe with quantum effect. Our modified results mainly stem from the new entropy-area relation and the novel idea of T. Padmanabhan, who considers the cosmic…

General Relativity and Quantum Cosmology · Physics 2018-03-15 Wei Zhang , Xiao-Mei Kuang

Friedmann-Robertson-Walker universes with a presently large fraction of the energy density stored in an $X$-component with $w_X<-1/3$, are considered. We find all the critical points of the system for constant equations of state in that…

General Relativity and Quantum Cosmology · Physics 2011-05-05 M. Chevallier , D. Polarski

Quantization is performed of a Friedmann-Robertson-Walker universe filled with a conformally invariant scalar field and a perfect fluid with equation of state $p=\alpha \rho$. A well-known discrete set of static quantum wormholes is shown…

General Relativity and Quantum Cosmology · Physics 2015-06-25 N. A. Lemos , G. A. Monerat

A discussion is given of the quantisation of a physical system with finite degrees of freedom subject to a Hamiltonian constraint by treating time as a constrained classical variable interacting with an unconstrained quantum state. This…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Charles Wang

A novel idea that the cosmic acceleration can be understood from the perspective that spacetime dynamics is an emergent phenomena was proposed by T. Padmanabhan. The Friedmann equations of FRW universe can be derived from different gravity…

General Relativity and Quantum Cosmology · Physics 2014-03-04 Wen-Yuan Ai , Xian-Ru Hu , Hua Chen , Jian-Bo Deng

We describe the ``deflationary'' evolution from an initial de Sitter phase to a subsequent Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) period as a specific non-equilibrium configuration of a self-interacting gas. The transition dynamics…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Winfried Zimdahl , Alexander B. Balakin

A gauge-invariant quantum theory of the Friedmann-Robertson-Walker (FRW) universe with dust is studied in terms of the Ashtekar variables. We use the reduced phase space quantization which has following advantages: (i) fundamental variables…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Fumitoshi Amemiya , Tatsuhiko Koike

We consider spatially homogeneous and isotropic Friedmann-Robertson-Walker (FRW) solutions of Milgrom's recently proposed class of bimetric theories of gravity. These theories have two different regimes, corresponding to high and low…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Timothy Clifton , Thomas G. Zlosnik

The unconstrained reduced action corresponding to the dynamics of scalar fluctuations about the Friedmann-Robertson-Walker (FRW) background is derived using Dirac's method of description of singular Lagrangian systems. The results are…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Arsen Khvedelidze , George Lavrelashvili , Takahiro Tanaka

We discuss massive scalar field with conformal coupling in Friedmann-Robertson-Walker (FRW) Universe of special type with constant electromagnetic field. Treating an external gravitational-electromagnetic background exactly, at first time…

High Energy Physics - Theory · Physics 2009-09-17 S. P. Gavrilov , D. M. Gitman , S. D. Odintsov

The $f(R, T)$ theory of gravity extends general relativity (GR) by allowing the gravitational Lagrangian to depend on both the Ricci scalar $R$ and the trace of the energy-momentum tensor $T$. The resulting matter-geometry coupling…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Serkan Doruk Hazinedar , Yaghoub Heydarzade , Shahram Jalalzadeh