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We propose a new scenario for the onset of positive acceleration of our Universe based on symmetry breaking in coupled dark energy scalar field model. In a symmetry breaking process where the scalar field rolls down its own potential, the…

General Relativity and Quantum Cosmology · Physics 2016-10-11 H. Mohseni Sadjadi , M. Honardoost , H. R. Sepangi

The quest for understanding the late-time acceleration is haunted by an immense freedom in the analysis of dynamical models for dark energy in extended parameter spaces. Often-times having no prior knowledge at our disposal, arbitrary…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-12 Federico Tosone , Balakrishna S. Haridasu , Vladimir V. Luković , Nicola Vittorio

In this paper we study a quintessence scalar field in a potential exponentially decreasing with e-folding number, and show that the universe is currently undergoing an accelerated expansion and could probably remain accelerating…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-21 Hoavo Hova

We apply the linear delta expansion to the quantum mechanical version of the slow rollover transition which is an important feature of inflationary models of the early universe. The method, which goes beyond the Gaussian approximation,…

High Energy Physics - Theory · Physics 2009-10-31 H. F. Jones , P. Parkin , D. Winder

We investigate a spherical overdensity model for the non-clustering dark energy (DE) with the constant equation of state, w in a flat universe. In this case, the exact solution for the evolution of the scale factor is obtained for general…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-27 Seokcheon Lee , Kin-Wang Ng

We discuss the obstacles for defining a set of observable quantities analogous to an S-matrix which are needed to formulate string theory in an accelerating universe. We show that the quintessence models with the equations of state $-1 < w…

High Energy Physics - Theory · Physics 2009-11-07 Simeon Hellerman , Nemanja Kaloper , Leonard Susskind

We provide a detailed discussion of the main theoretical and phenomenological challenges of quintessence model building in any numerically controlled regime of the moduli space of string theory. We argue that a working quintessence model…

High Energy Physics - Theory · Physics 2022-04-20 Michele Cicoli , Francesc Cunillera , Antonio Padilla , Francisco G. Pedro

We analyze the dynamics of a single scalar field in Friedmann-Robertson-Walker universes with spatial curvature. We obtain the fixed point solutions which are shown to be late time attractors. In particular, we determine the corresponding…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-30 Edmund J. Copeland , Shuntaro Mizuno , Maryam Shaeri

In axion quintessence, the cosmological era with an energy contrast in dark energy 0.1 < Omega_DE < 0.9 may represent a significant fraction of the universe's lifetime if the minimum of the axion potential is negative (unstable axion…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-07 Carl L. Gardner

We study several models of relevance for the dynamical breaking of supersymmetry which could provide a scalar component with equation of state $p=w\rho$, $-1<w<0$. Such models would provide a natural explanation for recent data on the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Pierre Binetruy

In this paper we develop methods to extend the minimal hypersurface approach to positive scalar curvature problems to all dimensions. This includes a proof of the positive mass theorem in all dimensions without a spin assumption. It also…

Differential Geometry · Mathematics 2017-04-20 Richard Schoen , Shing-Tung Yau

We consider large uniform random trees where we fix for each vertex its degree and height. We prove, under natural conditions of convergence for the profile, that those trees properly renormalized converge. To this end, we study the paths…

Probability · Mathematics 2026-03-06 Arthur Blanc-Renaudie , Emmanuel Kammerer

We study a new class of quintessence models, in which the scalar field possesses a O(\textit{N}) internal symmetry. We give a critical condition of instability for the potential against Q ball formation. We find that the most widely used…

Astrophysics · Physics 2009-11-06 Xin-zhou Li , Jian-gang Hao , Dao-jun Liu

We consider slow-roll inflation for a single scalar field with an arbitrary potential and an arbitrary nonminimal coupling to the Gauss-Bonnet term. By introducing a combined hierarchy of Hubble and Gauss-Bonnet flow functions, we…

High Energy Physics - Theory · Physics 2014-11-20 Zong-Kuan Guo , Dominik J. Schwarz

We analyze the general conditions on the equation of state $w$ required for quantum fluctuations of a scalar field to produce a scale-invariant spectrum of density perturbations, including models which (in the four dimensional effective…

Astrophysics · Physics 2009-09-15 Steven Gratton , Justin Khoury , Paul J. Steinhardt , Neil Turok

In this paper we constrain the sizes of hypothetical new weak forces by making use the data coming from the precession of Planets. We consider the weak field approximation of Scalar-Tensor Fourth Order Gravity (STFOG), which include several…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Antonio Capolupo , Gaetano Lambiase , Antonio Tedesco

We analyze the dynamics of a Taub cosmological model in the presence of a massless minimally coupled scalar field and a cosmological constant, in the limit when both the Universe volume and the scalar field live in a quasi-classical…

General Relativity and Quantum Cosmology · Physics 2020-06-05 Mariaveronica De Angelis , Giovanni Montani

In this paper, we present an analysis of a chiral cosmological scenario from the perspective of K-essence formalism. In this setup, several scalar fields interact within the kinetic and potential sectors. However, we only consider a flat…

General Relativity and Quantum Cosmology · Physics 2022-10-25 J. Socorro , S. Pérez-Payán , Rafael Hernández-Jiménez , Abraham Espinoza-García , Luis Rey Díaz-Barrón

The latest DESI DR2 results, when combined with other independent cosmological data on the Cosmic Microwave Background and supernovas, suggest a preference for dynamical dark energy. We propose a novel cosmological scenario, which features…

High Energy Physics - Theory · Physics 2025-09-19 Luis A. Anchordoqui , Ignatios Antoniadis , Niccolò Cribiori , Arda Hasar , Dieter Lust , Joaquin Masias , Marco Scalisi

This work introduces a construction of conformal processes that combines the theory of branching processes with chordal Loewner evolution. The main novelty lies in the choice of driving measure for the Loewner evolution: given a finite…

Probability · Mathematics 2025-08-13 Vivian Olsiewski Healey , Govind Menon