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Motivated by the mathematic theory of split-complex numbers (or hyperbolic numbers, also perplex numbers) and the split-quaternion numbers (or coquaternion numbers), we define the notion of split-complex scalar field and the…

General Relativity and Quantum Cosmology · Physics 2015-12-31 Changjun Gao , Xuelei Chen , You-Gen Shen

We study the spherical collapse model in dark energy cosmologies, in which dark energy is modelled as a minimally coupled scalar field. We first follow the standard assumption that dark energy does not cluster on the scales of interest.…

Astrophysics · Physics 2009-11-10 D. F. Mota , C. van de Bruck

In this paper, dark energy is modelled via a spherically symmetric quintessence scalar field $\varphi$, the dynamics of which are found to be analogous to a pendulum. This is due to a driving axion potential $V(\left|\varphi\right|)$, whose…

General Relativity and Quantum Cosmology · Physics 2014-05-30 M. P. Pierpoint , F. V. Kusmartsev

We investigate the cosmological observational test of the extended quintessence model, i.e. a scalar-tensor gravity model with a scalar field potential serving as dark energy, by using the Planck 2018 cosmic microwave background (CMB) data,…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-26 Gong Cheng , Fengquan Wu , Xuelei Chen

The two most popular candidates for dark energy, i.e. a cosmological constant and quintessence, are very difficult to distinguish observationally, mostly because the quintessence field does not have sizable fluctuations. We study a scalar…

Astrophysics · Physics 2009-11-11 Massimo Pietroni

The motivation of the present work is to reconstruct a dark energy model through the {\it dimensionless dark energy function} $X(z)$, which is the dark energy density in units of its present value. In this paper, we have shown that a scalar…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Abdulla Al Mamon , Kazuharu Bamba , Sudipta Das

All quintessence potentials that are either monotonic with negative interval or have a minimum at negative values of the potential, generically predict a future collapse of the scale factor to a "doomsday" singularity. We show that this…

General Relativity and Quantum Cosmology · Physics 2016-03-08 A. Lykkas , L. Perivolaropoulos

We study the late-time cosmological dynamics of a two-field dark energy model consisting of a canonical quintessence scalar field and a phantom scalar field in a spatially flat FLRW universe. The fields are minimally coupled to gravity and…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-06 Phusuda Thanankullaphong , Prasanta Sahoo , Prajwal Hassan Puttasiddappa , Nandan Roy

We explore the possibility that our universe's current accelerated expansion is explained by a quintessence model with an exponential scalar potential, $V =V_0\, e^{-\lambda\, \phi}$, keeping an eye towards $\lambda \geq \sqrt{2}$ and an…

High Energy Physics - Theory · Physics 2024-08-21 David Andriot , Susha Parameswaran , Dimitrios Tsimpis , Timm Wrase , Ivonne Zavala

We present general exact solutions for two classes of exponential potentials in scalar field models for quintessence. The coupling is minimal and we consider only dust and scalar field. To some extent, it is possible to reproduce…

Astrophysics · Physics 2008-11-26 C. Rubano , P. Scudellaro

We develop here a relatively simple description of dark energy based on the dynamics of non-minimally coupled to gravity phantom scalar field which, in limit, corresponds to cosmological constant. The dark energy equation of state, obtained…

Astrophysics · Physics 2014-11-18 Aleksandra Kurek , Orest Hrycyna , Marek Szydlowski

After the observation in 2012 of a new scalar particle closely resembling the Higgs boson of the Standard Model of particle physics, there is a general consensus that there must be Physics Beyond the Standard Model, with present experiments…

High Energy Physics - Phenomenology · Physics 2025-09-24 Rafael Boto

Recent analyses from the DESI collaboration suggest that the dark energy density of the Universe may be decreasing with time, slowing the acceleration of the scale factor $a$. Typically these studies are performed assuming an ansatz for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-17 James M. Cline , Varun Muralidharan

In this paper, we investigate a quintessence field with an exponential potential motivated by the suggestion of time-varying dark energy from the DESI galaxy survey. Assuming a kination epoch in the early Universe, we analytically derive…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-14 Naoto Maki , Kazunori Kohri

The potential energy from a time-dependent scalar field provides a possible explanation for the observed cosmic acceleration. In this paper, we investigate how data from supernova and bary acoustic oscillation surveys constrain the possible…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-03 Mark Van Raamsdonk , Chris Waddell

We study the dynamics of a quintessence model based on two interacting scalar fields. The model can account for the (recent) accelerated expansion of the Universe suggested by astronomical observations. Acceleration can be permanent or…

Astrophysics · Physics 2010-05-28 M. C. Bento , O. Bertolami , N. C. Santos

Dark energy models due to a slowly evolving scalar (quintessence) field $\phi$ are studied for various potentials $V(\phi)$ in a universe with negative curvature. The potentials differ in whether they possess a minimum at $\phi=0$ or are…

Astrophysics · Physics 2011-07-19 R. Aurich , F. Steiner

In this work it is investigated the evolution of a Universe where a scalar field, non-minimally coupled to space-time curvature, plays the role of quintessence and drives the Universe to a present accelerated expansion. A non-relativistic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. B. Binder , G. M. Kremer

We study Quintessence cosmologies in the context of scalar-tensor theories of gravity, where a scalar field $\phi$, assumed to provide most of the cosmic energy density today, is non-minimally coupled to the Ricci curvature scalar $R$. Such…

Astrophysics · Physics 2009-10-31 Francesca Perrotta , Carlo Baccigalupi , Sabino Matarrese

We propose a new quintessence scenario in the brane cosmology, assuming that a quintessence field $Q$ is confined in our 3-dimensional brane world. With a potential $V(Q)= \mu^{\alpha+4} Q^{-\alpha}~(\alpha\geq 2)$, we find that the density…

Astrophysics · Physics 2009-10-31 Kei-ichi Maeda
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