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De Sitter space

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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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

... We note, to end this section, that the proof also does not extend to the case where Λ < 0. In this situation, in the absence of a cosmological event horizon, we would integrate from the black hole event horizon out to ...

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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 ...Minkowski space-time, the renormalized vacuum expectation value of the stress-energy tensor is by definition zero, while on ...

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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 ...curved space– time, an object of ...

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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

... anti-de Sitter space (adS) [3, 4]) have, at least to date, been described by only a small number of parameters additional to the mass, angular momentum and charge of the black ...

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11. On space like submanifolds with $R=aH+b$ in de Sitter space form $S_p^{n+p}(c)$

11. On space like submanifolds with $R=aH+b$ in de Sitter space form $S_p^{n+p}(c)$

... in de Sitter space have been published. For the study of space- like hypersurface with constant scalar curvature in de Sitter space, there are also many results such as ...

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Renormalized black hole entropy in anti-de Sitter space via the "brick wall" method

Renormalized black hole entropy in anti-de Sitter space via the "brick wall" method

... We have included a cosmological constant Λ, which we will usually assume is negative, so that the black hole geometry approaches anti-de Sitter space far from the event horizon (this means that the ...

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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

... The differential geometry of curves on a hypersphere in the Euclidean space reflects instantaneous properties of sphere- cal motion. In this work, we give some results for differential geometry of spacelike curves ...

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Mode-sum construction of the covariant graiviton two-point function in the Poincaré patch of de Sitter space

Mode-sum construction of the covariant graiviton two-point function in the Poincaré patch of de Sitter space

... the de Sitter-noninvariant one when smeared with transverse-traceless tensors of com- pact support [38], in order to extract the gauge-invariant content ...a de Sitter-invariant state for ...

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Vacuum for a massless quantum scalar field outside a collapsing shell in anti-de Sitter space-time

Vacuum for a massless quantum scalar field outside a collapsing shell in anti-de Sitter space-time

... collapse of a thin shell of matter in anti-de Sitter space-time. This scenario has been studied by a number of authors (see, for example, [22,23,24,25]), largely (but not exclusively) from the point ...

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Soliton and black hole solutions of SU(N) Einstein Yang Mills theory in anti de Sitter space

Soliton and black hole solutions of SU(N) Einstein Yang Mills theory in anti de Sitter space

... We present new soliton and hairy black hole solutions of su (N) Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. These solutions are described by N +1 independent parameters, and ...

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Soliton and black hole solutions of su(N) Einstein-Yang-Mills theory in anti-de Sitter space

Soliton and black hole solutions of su(N) Einstein-Yang-Mills theory in anti-de Sitter space

... We present new soliton and hairy black hole solutions of su (N) Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. These solutions are described by N +1 independent parameters, and ...

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Massless Interacting Scalar Fields in de Sitter space

Massless Interacting Scalar Fields in de Sitter space

... Euclidean de Sitter space, paying particular attention to the IR problems that appear for massless and light ...becomes de Sitter ...

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

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

... adS space-time there is no such preferred ...the space-time by singling out an origin at which the local inverse temperature is ...the space-time ...adS space-time, the difference between the ...

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D branes in anti de Sitter space

D branes in anti de Sitter space

... target space Euclidean time is periodically identified, adopting a method suggested in [68] ...moduli space of worldsheet then gives the one loop free energy at finite ...

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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

... which are defined as the rth elementary symmetric polynomial in the principal curva- tures of M . Later many authors [1, 4, 5, 7, 8] have generalized Liebmann theorem to the cases of hypersurfaces with constant ...

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Dirac Fermions on an Anti-de Sitter Background

Dirac Fermions on an Anti-de Sitter Background

... Abstract. Using an exact expression for the bi-spinor of parallel transport, we construct the Feynman propagator for Dirac fermions in the vacuum state on anti-de Sitter space-time. We compute the ...

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On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector

On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector

... flat space sphaleron is most ...flat space has shown that all the modes of instability are contained within the spherically symmetric perturbations ...flat space sphalerons, where the only modes of ...

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Towards causal patch physics in dS/CFT

Towards causal patch physics in dS/CFT

... of de Sitter space, where every observer can access all of space (though not all of ...Hilbert space, should be general enough that they can be usefully addressed even within this toy ...

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