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<title>Relativity RSS : Gourt</title>
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<dc:rights>Copyright 2007, Gourt.com</dc:rights>
<dc:date>2009-11-07T13:45+38:00
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<title>An extension theorem for conformal gauge singularities</title>
<link>http://link.aip.org/link/?JMP/50/112501/1&#x26;agg=rss</link>
<description><![CDATA[Christian Lubbe and Paul Tod  We analyze conformal gauge, or isotropic, singularities in cosmological models in general relativity. Using the calculus of tractors, we find conditions in terms of tractor curvature for a local extension of the conformal structure through a cosmological singularity and prove a local extension theor ... [J. Math. Phys. 50, 112501 (2009)] published Tue Nov 3, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/112502/1&#x26;agg=rss">
<title>A conformal extension theorem based on null conformal geodesics</title>
<link>http://link.aip.org/link/?JMP/50/112502/1&#x26;agg=rss</link>
<description><![CDATA[Christian Lubbe  In this article we describe the formulation of null geodesics as null conformal geodesics and their description in the tractor formalism. A conformal extension theorem through an isotropic singularity is proven by requiring the boundedness of the tractor curvature and its derivatives to sufficient o ... [J. Math. Phys. 50, 112502 (2009)] published Tue Nov 3, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/102502/1&#x26;agg=rss">
<title>Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method</title>
<link>http://link.aip.org/link/?JMP/50/102502/1&#x26;agg=rss</link>
<description><![CDATA[A. Ghose Choudhury, Partha Guha, and Barun Khanra  The Darboux integrability method is particularly useful to determine first integrals of nonplanar autonomous systems of ordinary differential equations, whose associated vector fields are polynomials. In particular, we obtain first integrals for a variant of the generalized Raychaudhuri equation, wh ... [J. Math. Phys. 50, 102502 (2009)] published Fri Oct 23, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/102501/1&#x26;agg=rss">
<title>Weyl&#x27;s Lagrangian in teleparallel form</title>
<link>http://link.aip.org/link/?JMP/50/102501/1&#x26;agg=rss</link>
<description><![CDATA[James Burnett and Dmitri Vassiliev  The Weyl Lagrangian is the massless Dirac Lagrangian. The dynamical variable in the Weyl Lagrangian is a spinor field. We provide a mathematically equivalent representation in terms of a different dynamical variable  the coframe (an orthonormal tetrad of covector fields). We show that when written i ... [J. Math. Phys. 50, 102501 (2009)] published Tue Oct 20, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/082504/1&#x26;agg=rss">
<title>Geometry of universal magnification invariants</title>
<link>http://link.aip.org/link/?JMP/50/082504/1&#x26;agg=rss</link>
<description><![CDATA[M. C. Werner  Recent work in gravitational lensing and catastrophe theory has shown that the sum of the signed magnifications of images near folds, cusps, and also higher catastrophes is zero. Here, it is discussed how Lefschetz fixed point theory can be used to interpret this result geometrically for a subfamily ... [J. Math. Phys. 50, 082504 (2009)] published Wed Aug 26, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/082503/1&#x26;agg=rss">
<title>A complete cosmological solution to the averaged Einstein field equations as found in macroscopic gravity</title>
<link>http://link.aip.org/link/?JMP/50/082503/1&#x26;agg=rss</link>
<description><![CDATA[R. J. van den Hoogen  A formalism for analyzing the complete set of field equations describing macroscopic gravity is presented. Using this formalism, a cosmological solution to the macroscopic gravity equations is determined. It is found that if a particular segment of the connection correlation tensor is zero and if th ... [J. Math. Phys. 50, 082503 (2009)] published Tue Aug 25, 2009.]]></description>
</item>

<item rdf:about="http://link.aip.org/link/?JMP/50/082502/1&#x26;agg=rss">
<title>A classification of near-horizon geometries of extremal vacuum black holes</title>
<link>http://link.aip.org/link/?JMP/50/082502/1&#x26;agg=rss</link>
<description><![CDATA[Hari K. Kunduri and James Lucietti  We consider the near-horizon geometries of extremal, rotating black hole solutions of the vacuum Einstein equations, including a negative cosmological constant, in four and five dimensions. We assume the existence of one rotational symmetry in four dimensions (4D), two commuting rotational symmetrie ... [J. Math. Phys. 50, 082502 (2009)] published Mon Aug 24, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/082501/1&#x26;agg=rss">
<title>A universal magnification theorem. II. Generic caustics up to codimension five</title>
<link>http://link.aip.org/link/?JMP/50/082501/1&#x26;agg=rss</link>
<description><![CDATA[A. B. Aazami and A. O. Petters  We prove a theorem about magnification relations for all generic general caustic singularities up to codimension five: folds, cusps, swallowtail, elliptic umbilic, hyperbolic umbilic, butterfly, parabolic umbilic, wigwam, symbolic umbilic, second elliptic umbilic, and second hyperbolic umbilic. Spec ... [J. Math. Phys. 50, 082501 (2009)] published Fri Aug 7, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/072503/1&#x26;agg=rss">
<title>A mathematical theory of stochastic microlensing. I. Random time delay functions and lensing maps</title>
<link>http://link.aip.org/link/?JMP/50/072503/1&#x26;agg=rss</link>
<description><![CDATA[A. O. Petters, B. Rider, and A. M. Teguia  Stochastic microlensing is a central tool in probing dark matter on galactic scales. From first principles, we initiate the development of a mathematical theory of stochastic microlensing. Beginning with the random time delay function and associated lensing map, we determine exact expressions for th ... [J. Math. Phys. 50, 072503 (2009)] published Wed Jul 22, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/072502/1&#x26;agg=rss">
<title>Asymptotic flatness at spatial infinity in higher dimensions</title>
<link>http://link.aip.org/link/?JMP/50/072502/1&#x26;agg=rss</link>
<description><![CDATA[Kentaro Tanabe, Norihiro Tanahashi, and Tetsuya Shiromizu  A definition of asymptotic flatness at spatial infinity in d dimensions (d>=4) is given using the conformal completion approach. Then we discuss asymptotic symmetry and conserved quantities. As in four dimensions, in d dimensions we should impose a condition at spatial infinity that the magnetic par ... [J. Math. Phys. 50, 072502 (2009)] published Mon Jul 13, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/072501/1&#x26;agg=rss">
<title>Functional regularity properties for light rays in general relativity</title>
<link>http://link.aip.org/link/?JMP/50/072501/1&#x26;agg=rss</link>
<description><![CDATA[Roberto Giambo, Fabio Giannoni, and Antonio Masiello  In this note we consider some functionals restricted to the nonholonomic constraint satisfied by lightlike curves in Lorentzian manifolds. These functionals are related to the arrival time map, whose critical points are light rays in general relativity, and they have been used in the variational the ... [J. Math. Phys. 50, 072501 (2009)] published Mon Jul 6, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/062501/1&#x26;agg=rss">
<title>Brownian motion in RobertsonWalker spacetimes from electromagnetic vacuum fluctuations</title>
<link>http://link.aip.org/link/?JMP/50/062501/1&#x26;agg=rss</link>
<description><![CDATA[Carlos H. G. Bessa, V. B. Bezerra, and L. H. Ford  We consider the effects of the vacuum fluctuations of a quantized electromagnetic field on particles in an expanding universe. We find that these particles typically undergo Brownian motion and acquire a nonzero mean squared velocity that depends on the scale factor of the universe. This Brownian mo ... [J. Math. Phys. 50, 062501 (2009)] published Mon Jun 22, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/052503/1&#x26;agg=rss">
<title>Three dimensional quantum geometry and deformed symmetry</title>
<link>http://link.aip.org/link/?JMP/50/052503/1&#x26;agg=rss</link>
<description><![CDATA[E. Joung, J. Mourad, and K. Noui  We study a three dimensional noncommutative space emerging in the context of three dimensional Euclidean quantum gravity. Our starting point is the assumption that the isometry group is deformed to the Drinfeld double [script D](SU(2)). We generalize to the deformed case the construction of [openfac ... [J. Math. Phys. 50, 052503 (2009)] published Tue May 19, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/052502/1&#x26;agg=rss">
<title>On a class of solutions of the EinsteinMaxwell field equations in scalar-tensor theories of gravity</title>
<link>http://link.aip.org/link/?JMP/50/052502/1&#x26;agg=rss</link>
<description><![CDATA[A. A. R. Sobreira, Geusa de A. Marques, J. B. Fonseca-Neto, and V. B. Bezerra  In this paper we obtain a class of static cylindrically symmetric solutions of the EinsteinMaxwell field equations in the framework of scalar-tensor theories of gravity. In this context, in which both a Maxwell field and a dilaton field are sources of the stress energy, the solutions were obtained b ... [J. Math. Phys. 50, 052502 (2009)] published Tue May 19, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/052501/1&#x26;agg=rss">
<title>On higher dimensional black holes with Abelian isometry group</title>
<link>http://link.aip.org/link/?JMP/50/052501/1&#x26;agg=rss</link>
<description><![CDATA[Piotr T. Chru&#x015B;ciel  We consider (n+1)-dimensional, stationary, asymptotically flat, or KaluzaKlein asymptotically flat black holes with an Abelian s-dimensional subgroup of the isometry group satisfying an orthogonal integrability condition. Under suitable regularity conditions, we prove that the area of the group orbi ... [J. Math. Phys. 50, 052501 (2009)] published Mon May 18, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/042502/1&#x26;agg=rss">
<title>Comments on The Euclidean gravitational action as black hole entropy, singularities, and space-time voids [J. Math. Phys. 49, 042501 (2008)]</title>
<link>http://link.aip.org/link/?JMP/50/042502/1&#x26;agg=rss</link>
<description><![CDATA[Abhas Mitra  We point out that the space-time void inferred by Castro [J. Math. Phys. 49, 042501 (2008)] results from his choice of a discontinuous radial gauge. Further since the integration constant alpha=2M  (G=c=1) occurring in the vacuum Hilbert/Schwarzschild solution of a neutral point mass is zero [Arnowi ... [J. Math. Phys. 50, 042502 (2009)] published Tue Apr 28, 2009.]]></description>
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<item rdf:about="http://link.aip.org/link/?JMP/50/042501/1&#x26;agg=rss">
<title>Tube dislocations in gravity</title>
<link>http://link.aip.org/link/?JMP/50/042501/1&#x26;agg=rss</link>
<description><![CDATA[G. de Berredo-Peixoto and M. O. Katanaev  We consider static massive thin cylindrical shells (tubes) as the sources in Einstein's equations. They correspond to delta- and delta-function-type energy-momentum tensors. The corresponding metric components are found explicitly. They are not continuous functions, in general, and lead to ambiguous ... [J. Math. Phys. 50, 042501 (2009)] published Tue Apr 14, 2009.]]></description>
</item>

<item rdf:about="http://link.aip.org/link/?JMP/50/022503/1&#x26;agg=rss">
<title>Liouvillian quasinormal modes of ReissnerNordstrom black holes</title>
<link>http://link.aip.org/link/?JMP/50/022503/1&#x26;agg=rss</link>
<description><![CDATA[W. E. Couch and C. L. Holder  We identify a countable infinity of new exact, closed-form, quasinormal mode perturbations of ReissnerNordstrom black holes. We obtain a finite number of these modes explicitly, together with the values of the quasinormal frequency and the black hole charge for which the modes are valid. These modes ... [J. Math. Phys. 50, 022503 (2009)] published Fri Feb 27, 2009.]]></description>
</item>

<item rdf:about="http://link.aip.org/link/?JMP/50/022502/1&#x26;agg=rss">
<title>Radiating relativistic matter in geodesic motion</title>
<link>http://link.aip.org/link/?JMP/50/022502/1&#x26;agg=rss</link>
<description><![CDATA[S. Thirukkanesh and S. D. Maharaj  We study the gravitational behavior of a spherically symmetric radiating star when the fluid particles are in geodesic motion. We transform the governing equation into a simpler form which allows for a general analytic treatment. We find that Bernoulli, Ricatti, and confluent hypergeometric equation ... [J. Math. Phys. 50, 022502 (2009)] published Wed Feb 11, 2009.]]></description>
</item>

<item rdf:about="http://link.aip.org/link/?JMP/50/022501/1&#x26;agg=rss">
<title>Cylindrically symmetric viscous fluid universe in Lyra geometry</title>
<link>http://link.aip.org/link/?JMP/50/022501/1&#x26;agg=rss</link>
<description><![CDATA[Anirudh Pradhan  A new class of cylindrically symmetric homogeneous cosmological models for viscous fluid distribution is obtained in the context of Lyra's geometry. We have obtained solutions by considering the time dependent displacement field. To get the deterministic solutions of Einstein's modified field equati ... [J. Math. Phys. 50, 022501 (2009)] published Mon Feb 9, 2009.]]></description>
</item>

<item rdf:about="http://link.aip.org/link/?JMP/50/012503/1&#x26;agg=rss">
<title>Are the spectra of geometrical operators in loop quantum gravity really discrete?</title>
<link>http://link.aip.org/link/?JMP/50/012503/1&#x26;agg=rss</link>
<description><![CDATA[Bianca Dittrich and Thomas Thiemann  One of the celebrated results of loop quantum gravity (LQG) is the discreteness of the spectrum of geometrical operators such as length, area, and volume operators. This is an indication that the Planck scale geometry in LQG is discontinuous rather than smooth. However, there is no rigorous proof th ... [J. Math. Phys. 50, 012503 (2009)] published Thu Jan 15, 2009.]]></description>
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