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De Sitter’s

Massless Interacting Scalar Fields in de Sitter space

Massless Interacting Scalar Fields in de Sitter space

... Abstract. We present a method to compute the two-point functions for an O(N) scalar field model in de Sitter spacetime, avoiding the well known infrared problems for mass- less fields. The method is based on ...

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On perturbations of the Schwarzschild anti de sitter spaces of positive mass

On perturbations of the Schwarzschild anti de sitter spaces of positive mass

... anti-de Sitter spaces of positive mass as solutions to the Einstein vacuum equations with negative cosmological constant (for further information on this subject, see [9] and ...

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Hadamard renormalized scalar field theory on anti-de Sitter spacetime

Hadamard renormalized scalar field theory on anti-de Sitter spacetime

... – de Sitter spacetime, AdS, has held a particular interest for some time: initially, since AdS arises as a natural solution of a certain class of supergravity theories (see, for example, [14]); and more ...

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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 ...

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Compact space like hypersurfaces in de Sitter space

Compact space like hypersurfaces in de Sitter space

... mean curvature H must be totally umbilical, which turned out to be false in this original statement, an important number of authors have considered the problem of character- izing the totally umbilical space-like ...

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Multi-String Solutions by Soliton Methods in De Sitter Spacetime

Multi-String Solutions by Soliton Methods in De Sitter Spacetime

... dimensional de Sitter ...in de Sitter [15] and then we “dress” ...in de Sitter spacetime as ...in de Sitter universe is essentially different from the standard FRW ...

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Non perturbative Massive de Sitter Solutions

Non perturbative Massive de Sitter Solutions

... in de Sitter space via gravitational Higgs ...besides de Sitter, there are vacuum solutions where the space asymptotically is de Sitter both in the past and in the future, the ...

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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

... This paper aims at showing that Frenet apparatus of an evolute curve can be formed in terms of Frenet apparatus of its involute curve in the hyperbolic (de Sitter) space. Also, we establish relationships ...

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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

... anti-de Sitter space–time (adS) has been of particular interest since the formulation of the adS/CFT (conformal field theory) correspondence (see [1] for a ...

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Schwinger mechanism in electromagnetic field in de Sitter spacetime

Schwinger mechanism in electromagnetic field in de Sitter spacetime

... The Schwinger effect [1] is a phenomenon of pair production due to a strong electromagnetic field background. Since the early universe scenarios predict the existence of strong electromagnetic fields, it is natural to ...

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Vacuum state in de Sitter spacetime with static charts

Vacuum state in de Sitter spacetime with static charts

... in de Sitter spacetime, focusing our investigation on the description of the vacuum state as an entangled state between the states constructed in the static ...of de Sitter ...in de ...

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Quantum corrections in thermal states of fermions on anti-de Sitter space-time

Quantum corrections in thermal states of fermions on anti-de Sitter space-time

... anti-de Sitter space-times using relativistic kinetic ...anti-de Sitter space-time the vacuum contribution to this expectation value is in general ...

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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

... of de Sitter spacetime ...the de Sitter group for massless minimally-coupled scalar field in de Sitter spacetime ...no de Sitter-invariant vacuum state for ...

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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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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

... String propagation in curved spacetimes reveals new insights for string theory. The string behaviour in strong gravitational fields and in the vicinity of spacetime singularities is especially interesting. In ...

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Perturbative Quantum Gravity on de Sitter Spacetime

Perturbative Quantum Gravity on de Sitter Spacetime

... We will analyse perturbative quantum gravity on de Sitter spacetime. We propose a new type of inner product for modes on de Sitter spacetime. This inner product is used to mode decompose ...

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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

... The maximal symmetry of adS space-time also simplifies the study of higher-spin fields, again allowing closed-form expressions for the Feynman Green’s function to be derived in both the bosonic [9, 10] and fermionic [11, ...

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D branes in anti de Sitter space

D branes in anti de Sitter space

... Despite this success, most of the checks on the string theory side were done in the supergravity approximation due to the difficulty of including Ramond-Ramond (RR) fields in string theory computations. Recently, it has ...

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Quantum corrections for spinning particles in de Sitter

Quantum corrections for spinning particles in de Sitter

... in de Sitter spacetime play an important role in cosmology, not only because de Sitter approximates very well most of the inflationary period in the standard cosmological model [26–31], but ...

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