A System for Viscosity Measurements at Pressures up to 3 GPa and Elevated Temperatures

Abbot, L. H.; Newhall, D. H.; Zilberstein, Vladimir; Dill, J. F.

doi:10.1080/05698198108983005

Cited by 20 publications

(12 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For general cases of single brane with the positive tension and µ = 0, the coordinate w labelling the extra dimension does not terminate at the 'Cauchy horizon' and goes beyond the event horizon. For some cases, the coordinate goes through the wormhole and reaches another domain of communication where we can define the total energy well [29]. The energy should be µ for cases which we considered and we can prove the positivity on the slice without naked singularities at least K = 0 cases [30,31].…”

mentioning

confidence: 93%

Global structure of exact cosmological solutions in the brane world

2000

View full text Add to dashboard Cite

We find the explicit coordinate transformation which links two exact cosmological solutions of the brane world which have been recently discovered. This means that both solutions are exactly the same with each other. One of two solutions is described by the motion of a domain wall in the well-known 5-dimensional Schwarzshild-AdS spacetime. Hence, we can easily understand the region covered by the coordinate used by another solution.The Randall-Sundrum brane world [1,2] may give drastic changes to the conventional gravity theory or cosmology 1 . Since the 3-brane world is motivated by the relation between the 11-dimensional supergravity and E 8 × E 8 superstring theory [4], the drastic changes might be realistic. Hence we have to seriously think of this scenario. In this respect, the conventional 4-dimensional theory should be recovered in low energy limits. This recovery is easily confirmed on a brane with positive tension [6,7]. Hence for simplicity, hereafter, we will consider the single brane case with the positive tension. For the brane world cosmology with negative tension, the issue is still in debate [6][7][8][9][10][11], because the fine-tuning and radius stabilization problem seem to be necessary to recover the conventional Einstein theory and the single brane is not apparently acceptable.Recently several authors have found exact cosmological solutions in the brane world [12-16] 2 . In one of them, the 3-brane is described as a 'domain wall' moving in 5-dimensional black-hole geometries [12,13]. It may be worth noting that the radiation dominated Friedmann universe is also expected by the AdS/CFT correspondence [26,27]. Another one was given by exactly solving the Einstein equations in the Gaussian normal coordinate [14-16]. These global solutions will be important to discuss its stability as the full spacetime, the gravitational force between two bodies on the brane and the cosmological perturbation on the brane.Since each of the two solutions is general enough in each coordinate system, it is easily expected that both solutions represent the same spacetime in different coordinate systems. In this brief note, we give the explicit coordinate transformation from the coordinate used in Refs. [12,13] to the Gaussian normal coordinate adopted in Refs. [14][15][16]. Moreover, we identify the region which the Gaussian normal coordinate covers.As stated above, some authors [12,13] considered a domain-wall moving in the 5-dimensional 'Schwarzshild-AdS'(Sch-AdS) spacetimes [28] with the metric

show abstract

mentioning

confidence: 93%

Global structure of exact cosmological solutions in the brane world

2000

View full text Add to dashboard Cite

show abstract

“…In order to see graphically the role of the identifications, we plot parametrically the surface (1) in terms of the values of ξ 2 . First we consider the surface ξ 2 = r 2 + giving rise to the null surface…”

Section: A Identifications and Causal Structurementioning

confidence: 99%

“…Despite of the "unphysical" properties of coupling a negative cosmological constant to general relativity, antide Sitter space has a number of good properties. It has been shown to be stable [1], and to possess positive energy representations [2] (see [3] for a review of further properties of anti-de Sitter space). Recently, anti-de Sitter space has appeared in a surprising new context.…”

Section: Introductionmentioning

confidence: 99%

Anti-de Sitter space and black holes

Bañados

Gomberoff

Martínez

1998

Class. Quantum Grav.

117

View full text Add to dashboard Cite

Anti-de Sitter space with identified points give rise to black-hole structures. This was first pointed out in three dimensions, and generalized to higher dimensions by Aminneborg et al. In this paper, we analyse several aspects of the five dimensional anti-de Sitter black hole including, its relation to thermal anti-de Sitter space, its embedding in a Chern-Simons supergravity theory, its global charges and holonomies, and the existence of Killing spinors.

show abstract

“…For example in asymptotically flat spacetime it has been shown to be equivalent to the Arnowitt-Deser-Misner (ADM) energy [15] (in [6]) and the Trautman-Bondi-Sachs (TBS) [16] energy (in [17]). In asymptotically anti-de Sitter spacetimes it has been shown [8,18] to be equivalent to the Abbot-Deser energy [19]. Very recently interest in this subject has been renewed with the AdS/CFT inspired redefinition of the reference terms with respect to intrinsic rather than extrinsic curvatures.…”

Section: Introductionmentioning

confidence: 99%

Static and infalling quasilocal energy of charged and naked black holes

Booth

Mann

1999

Phys. Rev. D

View full text Add to dashboard Cite

We extend the quasilocal formalism of Brown and York to include electromagnetic and dilaton fields and also allow for spatial boundaries that are not orthogonal to the foliation of the spacetime. The extension allows us to study the quasilocal energy measured by observers who are moving around in a spacetime. We show that the quasilocal energy transforms with respect to boosts by Lorentz-type transformation laws. The resulting formalism can be used to study spacetimes containing electric or magnetic charge but not both, a restriction inherent in the formalism. The gauge dependence of the quasilocal energy is discussed. We use the thin shell formalism of Israel to reinterpret the quasilocal energy from an operational point of view and examine the implications for the recently proposed AdS/CFT inspired intrinsic reference terms. The distribution of energy around Reissner-Nordström and naked black holes is investigated as measured by both static and infalling observers. We see that this proposed distribution matches a Newtonian intuition in the appropriate limit. Finally the study of naked black holes reveals an alternate characterization of this class of spacetimes in terms of the quasilocal energies.

show abstract

A System for Viscosity Measurements at Pressures up to 3 GPa and Elevated Temperatures

Cited by 20 publications

References 11 publications

Global structure of exact cosmological solutions in the brane world

Global structure of exact cosmological solutions in the brane world

Anti-de Sitter space and black holes

Static and infalling quasilocal energy of charged and naked black holes

Contact Info

Product

Resources

About