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We demonstrate that if k-essence can solve the coincidence problem and play the role of dark energy in the universe, the fluctuations of the field have to propagate superluminally at some stage. We argue that this implies that successful…

Astrophysics · Physics 2009-11-11 Camille Bonvin , Chiara Caprini , Ruth Durrer

We derive a condition for converging a common evolutionary track for k-essence (a scalar field dark energy with non-canonical kinetic terms). For the Lagrangian density V(phi)W(X) with X=dot{phi}^2/2, we find tracker solutions with w_{phi}…

Astrophysics · Physics 2009-11-07 Takeshi Chiba

There are a number of mathematical theorems in the literature on the dynamics of cosmological models with accelerated expansion driven by a positive cosmological constant $\Lambda$ or a nonlinear scalar field with potential $V$…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alan D. Rendall

K-essence has been proposed as a possible means of explaining the coincidence problem of the Universe beginning to accelerate only at the present epoch. We carry out a comprehensive dynamical systems analysis of the k-essence models given…

Astrophysics · Physics 2009-11-07 Michael Malquarti , Edmund J Copeland , Andrew R Liddle

We recently introduced the concept of "k-essence" as a dynamical solution for explaining naturally why the universe has entered an epoch of accelerated expansion at a late stage of its evolution. The solution avoids fine-tuning of…

Astrophysics · Physics 2009-09-15 C. Armendariz-Picon , V. Mukhanov , Paul J. Steinhardt

Field theories whose full action is Lorentz invariant (or diffeomorphism invariant) can exhibit superluminal behaviors through the breaking of local Lorentz invariance. Quantum induced superluminal velocities are well-known examples of this…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jean-Philippe Bruneton

K-essence models, relying on scalar fields with non-canonical kinetic terms, have been proposed as an alternative to quintessence in explaining the observed acceleration of the Universe. We consider the use of field redefinitions to cast…

Astrophysics · Physics 2011-06-21 Michael Malquarti , Edmund J Copeland , Andrew R Liddle , Mark Trodden

The k-essence theories admit in general the superluminal propagation of the perturbations on classical backgrounds. We show that in spite of the superluminal propagation the causal paradoxes do not arise in these theories and in this…

High Energy Physics - Theory · Physics 2011-02-25 Eugeny Babichev , Viatcheslav Mukhanov , Alexander Vikman

We show that if the Lagrangean for a scalar field coupled to General Relativity only contains derivatives, then it is possible to completely deparametrise the theory. This means that 1.Physical observables, i.e. functions which Poisson…

Astrophysics · Physics 2007-05-23 Thomas Thiemann

In this paper, we consider the Universe at the late stage of its evolution and deep inside the cell of uniformity. At these scales, we can consider the Universe to be filled with dust-like matter in the form of discretely distributed…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Mariam Bouhmadi-López , K. Sravan Kumar , João Marto , João Morais , Alexander Zhuk

We extend a result by one of the authors, established for nonvacuum Einstein gravity, to minimally coupled k-essence scalar-tensor theories. First we prove that in order to source a Kerr-Schild type spacetime, the k-essence Lagrangian…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Bence Juhász , László Árpád Gergely

Subhorizon approximation is often used in cosmological perturbation theory. In this paper, however, it is shown that the subhorizon approximation is not always a good approximation at least in case of $k$-essence model. We also show that…

High Energy Physics - Theory · Physics 2012-06-12 Kazuharu Bamba , Jiro Matsumoto , Shin'ichi Nojiri

k-essence scalar field models are usually taken to have lagrangians of the form ${\mathcal L}=-V(\phi)F(X)$ with $F$ some general function of $X=\nabla_{\mu}\phi\nabla^{\mu}\phi$. Under certain conditions this lagrangian in the context of…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-22 Debashis Gangopadhyay , Somnath Mukherjee

A cosmological model that aims at solving the coincidence problem should show that dark energy and dark matter follow the same scaling solution from some time onward. At the same time, the model should contain a sufficiently long…

Astrophysics · Physics 2009-11-11 Luca Amendola , Miguel Quartin , Shinji Tsujikawa , Ioav Waga

A $k$-essence scalar field model having (non canonical) Lagrangian of the form $L=-V(\phi)F(X)$ where $X=1/2g^{\mu\nu}\nabla_{\mu}\phi\nabla_{\nu}\phi$ with constant $V(\phi)$ is shown to be consistent with luminosity distance-redshift data…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-11 Abhijit Bandyopadhyay , Debashis Gangopadhyay , Arka Moulik

We investigate the possibility for \textit{k}-essence dynamics to reproduce the primary features of inflation in the early universe, generate dark matter subsequently, and finally account for the presently observed acceleration. We first…

Astrophysics · Physics 2009-09-03 Nilok Bose , A. S. Majumdar

In this paper we present a hybrid model of k-essence and chameleon, named as k-chameleon. In this model, due to the chameleon mechanism, the directly strong coupling between the k-chameleon field and matters (cold dark matters and baryons)…

High Energy Physics - Theory · Physics 2008-11-26 Hao Wei , Rong-Gen Cai

The evidence of the acceleration of universe at present time has lead to investigate modified theories of gravity and alternative theories of gravity, which are able to explain acceleration from a theoretical viewpoint without the need of…

High Energy Physics - Theory · Physics 2011-05-05 Gianluca Allemandi , Andrzej Borowiec , Mauro Francaviglia

Here we investigate the cosmic dynamics of Friedmann-Robertson-Walker universes -- flat spatial sections -- which are driven by nonlinear electrodynamics (NLED) Lagrangians. We pay special attention to the check of the sign of the square…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Ricardo Garcia-Salcedo , Tame Gonzalez , Israel Quiros

K-essence Lagrangian is studied in the context of an early universe epoch when time is very small. Equation of state parameter as well as deceleration parameter , indicates an accelerated expansion of the universe at an early epoch of time…

General Physics · Physics 2021-02-05 Somnath Mukherjee
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