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de Sitter

Generalization of the de Sitter Cosmos

Generalization of the de Sitter Cosmos

... First of all, we investigate whether the transformation of Lemaître inevitably leads from the static de Sitter cosmos to an expanding cosmos. A Lorentz transformation which can be assigned to the Lemaître ...

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Thermodynamics of de Sitter black holes with a conformally coupled scalar field

Thermodynamics of de Sitter black holes with a conformally coupled scalar field

... of de Sitter black holes with a conformally coupled scalar ...om-de Sitter black holes, with the event and cosmological horizons at the same ...

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Analysis of scalar and fermion quantum field theory on anti-de Sitter spacetime

Analysis of scalar and fermion quantum field theory on anti-de Sitter spacetime

... anti-de Sitter space-time. Anti-de Sitter space-time is maximally symmetric and this enables expressions for the scalar and fermion vacuum Feynman Green’s functions to be derived in closed ...

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De Sitter limit analysis for dark energy and modified gravity models

De Sitter limit analysis for dark energy and modified gravity models

... have a clear physical interpretation. Therefore, in this paper we will try to address the issue of giving a value for the mass of the perturbation field which describes the energy density of the scalar field ϕ , i.e. of ...

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Some Results on the Differential Geometry of Spacelike Curves in De Sitter Space

Some Results on the Differential Geometry of Spacelike Curves in De Sitter Space

... This work develops the differential geometry of space- like curves on de-Sitter space in four-dimensional Lor- entzian space. The motivation for this work is the fact that the Euler parameters of spherical ...

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Exact String Solutions in 2+1-Dimensional De Sitter Spacetime

Exact String Solutions in 2+1-Dimensional De Sitter Spacetime

... (26) These string solutions are given for a fixed de Sitter frame. Applying the de Sitter group to them yields a multi-parameter family of solutions. As it is clear, we can study them in the ...

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Gibbons-Hawking radiation of gravitons in the Poincare and static patches of de Sitter spacetime

Gibbons-Hawking radiation of gravitons in the Poincare and static patches of de Sitter spacetime

... tional perturbations) in (3 + 1)-dimensional de Sitter spacetime and present the mode functions for these per- turbations in spherical polar coordinates in the Poincar´e patch. In Sec. III, we describe our ...

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Hadamard renormalized scalar field theory on anti-de Sitter spacetime

Hadamard renormalized scalar field theory on anti-de Sitter spacetime

... a good preliminary step in the development of practical HR methodology in more than four spacetime dimensions. Ultimately an implementation of HR for higher- dimensional black hole spacetimes would be of great interest. ...

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Thermal expectation values of fermions on anti-de Sitter space-time

Thermal expectation values of fermions on anti-de Sitter space-time

... anti-de Sitter space-time, we derive an analytic expression for the bispinor of parallel transport, from which we construct in closed form the vacuum Feynman Green’s function of the Dirac field on this ...

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On involute-evolute curve couple in the hyperbolic and de Sitter spaces

On involute-evolute curve couple in the hyperbolic and de Sitter spaces

... Izumiya et al. defined the evolute curve in hyperbolic 2-space and found its equation. Following the works of them, we defined the evolute curve in hyperbolic 3-space and de Sitter 3-space and found its ...

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A New Characterization of Totally Umbilical Hypersurfaces in de Sitter Space

A New Characterization of Totally Umbilical Hypersurfaces in de Sitter Space

... S + should be the totally umbilical ones. This conjecture motivated the work of an important number of authors who considered the problem of characterizing the totally umbilical spacelike hypersurfaces of de ...

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Towards a Fisher-Information Description of Complexity in de Sitter Universe

Towards a Fisher-Information Description of Complexity in de Sitter Universe

... A milestone in the exploration of the unification of general relativity and quantum mechanics was the work of Bekenstein and Hawking on the area law of black hole entropy [1,2]. Inspired by this discovery, ’t Hooft [3] ...

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Multi-String Solutions by Soliton Methods in De Sitter Spacetime

Multi-String Solutions by Soliton Methods in De Sitter Spacetime

... the string proper length. Moreover the classical string equations of motion (plus the string constraints) turn to be integrable in de Sitter universe [14],[15]. More precisely, they are equivalent to a ...

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Classical super-radiance in Kerr-Newman-anti-de Sitter black holes

Classical super-radiance in Kerr-Newman-anti-de Sitter black holes

... anti-de Sitter space is non-globally hyperbolic, we do not address the more difficult question of whether providing initial conditions for the field on some surface will uniquely control the evolution of ...

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de Sitter vacua in type IIB string theory: classical solutions and quantum corrections

de Sitter vacua in type IIB string theory: classical solutions and quantum corrections

... The first result is a fairly simple extension of the analysis performed by Maldacena- Nunez [19], and Giddings, Kachru, Polchinski [79], among others. Our assumptions in deriving this were limited to demanding (i) ...

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Abundant Stable Gauge Field Hair for Black Holes in Anti–de Sitter Space

Abundant Stable Gauge Field Hair for Black Holes in Anti–de Sitter Space

... We present new hairy black hole solutions of su ( N ) Einstein-Yang-Mills theory (EYM) in asymp- totically anti-de Sitter (adS) space. These black holes are described by N + 1 independent param- eters, and ...

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On the existence of conformally coupled scalar field hair for black holes in (anti-)de Sitter space

On the existence of conformally coupled scalar field hair for black holes in (anti-)de Sitter space

... More recently, scalar fields in models with a non-zero cosmological constant have been studied. The inclusion of a positive cosmological constant allows minimally-coupled scalar field hair to exist for positive ...

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A De Sitter Hubble Equation, the Force in Special Relativity and Some Concepts on Symmetry

A De Sitter Hubble Equation, the Force in Special Relativity and Some Concepts on Symmetry

... made a proposal for two new ones: the kind of the Hubble field as well as a De Sitter-Hubble equation. Moreover, it is proposed a necessary change in the equation of force in Special Relativity. It is ...

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Spacelike hypersurfaces in de Sitter space with constant higher order mean curvature

Spacelike hypersurfaces in de Sitter space with constant higher order mean curvature

... It is shown that a compact connected hypersurface with positive constant higher-order mean curvature Hr for some fixed r, 1 ≤ r ≤ n, immersed in the de Sitter space Sn+1 must be a 1 sphe[r] ...

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Renormalised fermion vacuum expectation values on anti-de Sitter space-time

Renormalised fermion vacuum expectation values on anti-de Sitter space-time

... The Schwinger–de Witt and Hadamard methods are used to obtain renormalised vacuum expectation values for the fermion condensate, charge current and stress-energy tensor of a quantum fermion field of arbitrary mass ...

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