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We examine Friedmann-Lema\^itre-Robertson-Walker cosmology, incorporating quantum gravitational corrections through the functional renormalization group flow of the effective action for gravity. We solve the Einstein equation with quantum…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Chiang-Mei Chen , Rituparna Mandal , Nobuyoshi Ohta

We study the deep connections between the concepts of quantum information theory and cosmology. Employing Fermi normal coordinates and conformal Fermi coordinates, we construct a relation between Friedmann equations of…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Xian-Hui Ge , Can-Can Wang

We present an up to cubic curvature correction to General Relativity with the following features: (i) its vacuum spectrum solely consists of a graviton and is ghost-free, (ii) it possesses well-behaved black hole solutions which coincide…

General Relativity and Quantum Cosmology · Physics 2020-03-12 Gustavo Arciniega , Jose D. Edelstein , Luisa G. Jaime

The stability of cosmological solutions in the recently suggested specific mechanism of dynamical compensation of vacuum energy is studied. It is found that the solutions in the original version lead to cosmological singularity which could…

Astrophysics · Physics 2007-05-23 A. D. Dolgov , M. Kawasaki

We discuss the effect of curvature and matter inhomogeneities on the averaged scalar curvature of the present-day Universe. Motivated by studies of averaged inhomogeneous cosmologies, we contemplate on the question whether it is sensible to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Buchert , Mauro Carfora

The semi classical cosmology approximation for a Friedman Robertson Walker geometry coupled to a field is considered. A power series of the field with coefficients that depend on the radius of the geometry is proposed, and the equations for…

General Relativity and Quantum Cosmology · Physics 2011-04-12 Jose L. Martinez-Morales

A key signature of general relativity is that the two scalar potentials $\Phi$ and $\Psi$, when expressed in the longitudinal gauge, are equal in the absence of fluids with anisotropic stress. This is often expressed by stating that their…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-07 Theodore Anton , Timothy Clifton , Daniel B. Thomas

According to the separate universe conjecture, spherically symmetric sub-regions in an isotropic universe behave like mini-universes with their own cosmological parameters. This is an excellent approximation in both Newtonian and general…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-14 Gábor Rácz , László Dobos , Róbert Beck , István Szapudi , István Csabai

We study a new approach to generally covariant quantum mechanics applied in the case of an FLRW cosmological background. For positive spatial curvature we find a discrete series of solutions of the Klein-Gordon equation that can reasonably…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Edwin Beggs , Shahn Majid

In this paper we suppose that the cosmological constant will change when the universe expends. For a general consideration, the cosmological constant is assumed to be a function of scale factor and Hubble constant. According to the ADM…

Cosmology and Nongalactic Astrophysics · Physics 2010-08-03 Jin-Zhang Tang , Qiang Xu

The cosmological concordance model is consistent with all available observational data, including the apparent distance and redshift relationship for distant supernovae, but it is curious how the Milne cosmological model is able to make…

General Physics · Physics 2007-05-23 Alasdair Macleod

Expansion of the two-component universe with arbitrary spatial curvature has been considered. It has been shown that the Friedmann integrals of the almost flat universe do not coincide.

Astrophysics · Physics 2008-11-26 O. B. Karpov

We consider the evolution of a flat, isotropic and homogeneous Friedmann-Robertson-Walker Universe, filled with a causal bulk viscous cosmological fluid, that can be characterized by an ultra-relativistic equation of state and bulk…

General Relativity and Quantum Cosmology · Physics 2011-10-05 A. Tawfik , M. Wahba , H. Mansour , T. Harko

In this work we study the Friedmann-Lema\^{i}tre-Robertson-Walker cosmologies with arbitrary spatial curvature for the symmetric teleparallel theories of gravity, giving the first presentation of their coincident gauge form. Our approach…

General Relativity and Quantum Cosmology · Physics 2025-01-24 Erik Jensko

We argue that, when coupled to Einstein's theory of gravity, the Yukawa theory may solve the cosmological constant problem in the following sense: The radiative corrections of fermions generate an effective potential for the scalar field,…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Tomislav Prokopec

We study the cosmic expansion history of massive bigravity with a viable matter coupling which treats both metrics on equal footing. We derive the Friedmann equation for the effective metric through which matter couples to the two metrics,…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-13 Jonas Enander , Adam R. Solomon , Yashar Akrami , Edvard Mortsell

We compare the cosmological first-order post-Newtonian (1PN) approximation with the relativistic cosmological linear perturbation theory in a zero-pressure medium with the cosmological constant. We compare equations and solutions in several…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Hyerim Noh , Jai-chan Hwang

Without invoking a perturbative expansion, we define the cosmological curvature perturbation, and consider its behaviour assuming that the universe is smooth over a sufficiently large comoving scale. The equations are simple, resembling…

Astrophysics · Physics 2009-10-09 David H. Lyth , Karim A. Malik , Misao Sasaki

The integrals of the Friedmann cosmology equations are identified as constant physical characteristics for both vacuum and non-vacuum cosmic energies. The integrals are found to be numerically coincident. A model shows that the coincidence…

Astrophysics · Physics 2016-08-30 Arthur D. Chernin

The big bang singularity of the expanding-universe Friedmann solution of the Einstein gravitational field equation can be regularized by the introduction of a degenerate metric and a nonzero length scale $b$. The result is a nonsingular…

General Relativity and Quantum Cosmology · Physics 2020-03-25 F. R. Klinkhamer
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