scholarly journals Attractor behaviour of holographic inflation model for inverse cosine hyperbolic potential

2020 ◽  
Vol 18 (1) ◽  
pp. 65-73
Author(s):  
Dragoljub Dimitrijevic ◽  
Goran Djordjevic ◽  
Milan Milosevic ◽  
Marko Stojanovic
Keyword(s):  
Phase Space ◽  
Tachyon Field ◽  
Inflation Model ◽  
Attractor Solution ◽  
Hyperbolic Potential ◽  
Attractor Behaviour

We study a model of tachyon inflation and its attractor solution in the framework of holographic cosmology. The model is based on a holographic braneworld scenario with a D3-brane located at the holographic boundary of an asymptotic ADS5 bulk. The tachyon field that drives inflation is represented by a Dirac-Born-Infeld (DBI) action on the brane. We examine the attractor trajectory in the phase space of the tachyon field for the case of inverse cosine hyperbolic tachyon potential.

scholarly journals Intermediate class of warm pseudoscalar inflation

2021 ◽  
Vol 81 (6) ◽  
Author(s):  
Saeid Ebrahimi ◽  
Vahid Kamali ◽  
Asma Alaei
Keyword(s):  
Phase Space ◽  
Observational Data ◽  
Accelerated Expansion ◽  
Limited Area ◽  
Cold Model ◽  
Inflation Model ◽  
Dissipation Parameter ◽  
Expansion Of The Universe ◽  
Intermediate Solution ◽  
The Universe

AbstractHigh dissipative regime of warm pseudoscalar inflation model (Kamali in Phys Rev D 100:043520, arXiv:1901.01897 [gr-qc], 2019) with an approximately constant value of dissipation parameter Q is studied. Intermediate solution of the scale-factor related to the accelerated expansion of the Universe which is rolled out by observational data in the context of standard (cold) model of inflation is used. There is a region of free parameters phase-space of the model which is interestingly compatible with recent observational data. It is discussed that the model is also compatible with the swampland criteria in a broad range of parameters phase-space and TCC in a limited area of parameters.

scholarly journals Phase space analysis of interacting dark energy in f(T) cosmology

Open Physics ◽  
2012 ◽  
Vol 10 (5) ◽  
Author(s):  
Mubasher Jamil ◽  
Kuralay Yesmakhanova ◽  
Davood Momeni ◽  
Ratbay Myrzakulov
Keyword(s):  
Dark Energy ◽  
Phase Space ◽  
Critical Points ◽  
Local Stability ◽  
Dark Energy Model ◽  
Dynamical Equation ◽  
Interacting Dark Energy ◽  
Attractor Solution ◽  
Interacting Dark Energy Model ◽  
The Stability

AbstractIn this paper, we examine the interacting dark energy model in f(T) cosmology. We assume dark energy as a perfect fluid and choose a specific cosmologically viable form f(T) = β√T. We show that there is one attractor solution to the dynamical equation of f(T) Friedmann equations. Further we investigate the stability in phase space for a general f(T) model with two interacting fluids. By studying the local stability near the critical points, we show that the critical points lie on the sheet u* = (c − 1)v* in the phase space, spanned by coordinates (u, v, Ω, T). From this critical sheet, we conclude that the coupling between the dark energy and matter c ∈ (−2, 0).

scholarly journals Tachyonic Teleparallel Dark Energy in Phase Space

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Behnaz Fazlpour ◽  
Ali Banijamali
Keyword(s):  
Dark Energy ◽  
Phase Space ◽  
Scalar Field ◽  
Critical Points ◽  
Dynamical Analysis ◽  
Accelerating Universe ◽  
Nonminimal Coupling ◽  
Tachyon Field ◽  
Critical Lines

Recently, nonminimal coupling between a noncanonical scalar field and gravity in the framework of teleparallelism has been proposed. Noncanonical scalar field is tachyon field, and the model is known as tachyonic teleparallel dark energy. Here, we perform a dynamical analysis of the model, find its critical points, and study their stability. We find that all the critical points are dark energy dominated solutions corresponding to an accelerating universe. It is also shown that there exist two critical lines which are stable attractors of the model.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Phase space of mechanical systems with a gauge group

1991 ◽  
Vol 161 (2) ◽  
pp. 13-75 ◽  
Author(s):  
Lev V. Prokhorov ◽  
Sergei V. Shabanov
Keyword(s):  
Phase Space ◽  
Gauge Group ◽  
Mechanical Systems
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