Optimization of soft x-ray amplifiers by controlling plasma hydrodynamics

Oliva, Eduardo; Zeitoun, Ph.; Velarde, P.; Fajardo, M.; Cassou, K.; Ros, D.; Sebban, S.; Dumitraş, Dan

doi:10.1063/1.3426084

Cited by 2 publications

(3 citation statements)

References 21 publications

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“…In this letter we have shown how to construct an infinite class of higher derivative gravity theories. Notice that somewhat similar theories to the ones constructed here have appeared recently in the literature, but in higher dimensions [11][12][13][14]. By imposing suitable constraints on the parameters of the lagrangian we have found that it is possible to define a holographic version of the c-theorem, and that the central charge so obtained is consistent with a calculation of entropy in a black hole background.…”

Section: Discussionsupporting

confidence: 76%

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New massive gravity, extended

Paulos

2010

Preprint

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We consider gravity in three dimensions with an arbitrary number of curvature corrections. We show that such corrections are always functions of only three independent curvature invariants. Demanding the existence of a holographic c-theorem we show how to fix the coefficients in the action for an arbitrarily high order, recovering the new massive gravity lagrangian at quadratic order. We calculate the central charge c and show that using Cardy's formula it matches the entropy of black hole solutions, which we construct. We also consider fluctuations about an AdS background, and find that it is possible to obtain two derivative equations by imposing a single constraint, thereby lifting the pathologic massive modes of new massive gravity. If we do not impose this, there is a set of ghosty massive modes propagating in the bulk. However, at c = 0 these become massless and it is expected that these theories encode the dynamics of the spin two sector of strongly coupled logarithmic CFT's.

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Section: Discussionsupporting

confidence: 76%

“…Therefore in computing the entropy only invariants of the form R p contribute. Using that R = −6f ∞ /L 2 , the lagrangian must necessarily be of the same form as (14) with…”

Section: Black Hole Solutions and Entropymentioning

confidence: 99%

New massive gravity, extended

Paulos

2010

Preprint

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“…Considering the same action in dimensions other than four, one loses the property of invariance under Weyl rescalings. Even then, the theory admits exact analytic black hole solutions with spherical, planar or hyperbolic symmetry, and further admits Birkhoff's theorem [9]. Note that, in arbitrary dimensions, though the field equations are of fourth order, the trace of the field equations are of order two.…”

Section: Introductionmentioning

confidence: 99%

Classification of six derivative Lagrangians of gravity and static spherically symmetric solutions

2010

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We classify all the six derivative Lagrangians of gravity, whose traced field equations are of second or third order, in arbitrary dimensions. In the former case, the Lagrangian in dimensions greater than six, reduces to an arbitrary linear combination of the six dimensional Euler density and the two linearly independent cubic Weyl invariants. In five dimensions, besides the independent cubic Weyl invariant, we obtain an interesting cubic combination, whose field equations for static spherically symmetric spacetimes are of second order. In the later case, in arbitrary dimensions we obtain two combinations, which in dimension three, are equivalent to the complete contraction of two Cotton tensors. Moreover, we also recover all the conformal anomalies in six dimensions. Finally, we present the general static, spherically symmetric solution for some of these Lagrangians.1 Note that the only non-quadratic term with degree of differentiation 4 is R, which is boundary term. 2 Since a divergenceless vector J a cannot be constructed locally out of the curvature, the equation ∇aJ a = 0, with J a := ∇ b −4aR ab + g ab 4a + D 2 b + 2(D − 1)c R , does not have any non-trivial solution.

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Optimization of soft x-ray amplifiers by controlling plasma hydrodynamics

Cited by 2 publications

References 21 publications

New massive gravity, extended

New massive gravity, extended

Classification of six derivative Lagrangians of gravity and static spherically symmetric solutions

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