Spherical universes with anisotropic pressure

Gair, J. R.

doi:10.1088/0264-9381/18/22/313

Cited by 21 publications

(37 citation statements)

References 22 publications

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“…Of course more general models can be obtained by relaxing the condition of vanishing pressure, we recall that LTB spacetime is compatible with an anisotropic fluid [12,13].…”

Section: The Euclidean Condition and Its Consequencesmentioning

confidence: 99%

Collapsing spheres satisfying an “Euclidean condition”

Herrera

Santos

2010

Gen Relativ Gravit

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We study the general properties of fluid spheres satisfying the heuristic assumption that theirs areal and proper radius are equal (the Euclidean condition). Dissipative and non-dissipative models are considered. In the latter case, all models are necessarily geodesic and a subclass of the Lemaître-Tolman-Bondi solution is obtained. In the dissipative case solutions are non-geodesic and are characterized by the fact that all non-gravitational forces acting on any fluid element produces a radial three-acceleration independent on its inertial mass. *

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“…Of course more general models can be obtained by relaxing the condition of vanishing pressure, we recall that LTB spacetime is compatible with an anisotropic fluid [12,13].…”

Section: The Euclidean Condition and Its Consequencesmentioning

confidence: 99%

Collapsing spheres satisfying an “Euclidean condition”

Herrera

Santos

2010

Gen Relativ Gravit

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“…In astrophysics, for example, these are used in studying (1) the image generation formulae in a Kerr spacetime (Viergutz 1993), (2) the exact solutions of Einstein's field equation (Maharaj et al 1996;Nolan 1998;Sussman and Triginer 1999;Conway 2000;Halburd 2001;Gair 2001), (3) the solution of an axisymmetric Poisson equation (Hure 2005;Pierens and Hure 2005), (4) the gravitational potential of power-law disks (Hure et al 2008), (5) the self-gravitation of a mass element in a disk (Hure et al 2009), and (6) the magnetic field of interplanetary coronal mass ejections (Nieves-Chinchilla et al 2009). …”

Section: Complete Elliptic Integrals Of First and Second Kindsmentioning

confidence: 99%

Fast computation of complete elliptic integrals and Jacobian elliptic functions

Fukushima

2009

Celest Mech Dyn Astr

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As a preparation step to compute Jacobian elliptic functions efficiently, we created a fast method to calculate the complete elliptic integral of the first and second kinds, K (m) and E(m), for the standard domain of the elliptic parameter, 0 < m < 1. For the case 0 < m < 0.9, the method utilizes 10 pairs of approximate polynomials of the order of 9-19 obtained by truncating Taylor series expansions of the integrals. Otherwise, the associate integrals, K (1 − m) and E(1 − m), are first computed by a pair of the approximate polynomials and then transformed to K (m) and E(m) by means of Jacobi's nome, q, and Legendre's identity relation. In average, the new method runs more-than-twice faster than the existing methods including Cody's Chebyshev polynomial approximation of Hastings type and Innes' formulation based on q-series expansions. Next, we invented a fast procedure to compute simultaneously three Jacobian elliptic functions, sn(u|m), cn(u|m), and dn(u|m), by repeated usage of the double argument formulae starting from the Maclaurin series expansions with respect to the elliptic argument, u, after its domain is reduced to the standard range, 0 ≤ u < K (m)/4, with the help of the new method to compute K (m). The new procedure is 25-70% faster than the methods based on the Gauss transformation such as Bulirsch's algorithm, sncndn, quoted in the Numerical Recipes even if the acceleration of computation of K (m) is not taken into account.

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“…More efficient if less powerful searches can be carried out by looking for the tracks left by EMRI signals in the time-frequency (TF) spectrograms of LISA data. Such a program has been developed over the last few years by Wen, Gair, and coauthors, who began by looking for single bright pixels in the TF plane [46] (in analogy to the excess power method for ground-based searches [47]), using multiple choices of pixel timespan and frequency bandwidth. Such a search has roughly half the reach of the semicoherent strategy, and it is clearly limited by its focus on the brightest single-harmonic, quasimonochromatic stretch of EMRI signal.…”

Section: Extreme-mass-ratio Inspiralsmentioning

confidence: 99%

A LISA data-analysis primer

Vallisneri¹

2009

Class. Quantum Grav.

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This article is an introduction for the nonpractitioner to the ideas and issues of LISA data analysis, as reflected in the explorations and experiments of the participants in the Mock LISA Data Challenges. In particular, I discuss the methods and codes that have been developed for the detection and parameter estimation of supermassive black-hole binaries, extreme mass-ratio inspirals, and Galactic binaries.PACS numbers: 04.80.Nn, 95.55.Ym

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Spherical universes with anisotropic pressure

Cited by 21 publications

References 22 publications

Collapsing spheres satisfying an “Euclidean condition”

Collapsing spheres satisfying an “Euclidean condition”

Fast computation of complete elliptic integrals and Jacobian elliptic functions

A LISA data-analysis primer

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