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34,387
Non–Relativistic Spacetimes with Cosmological Constant
, 1999
"... Recent data on supernovae favor high values of the cosmological constant. Spacetimes with a cosmological constant have non–relativistic kinematics quite different from Galilean kinematics. De Sitter spacetimes, vacuum solutions of Einstein’s equations with a cosmological constant, reduce in the non– ..."
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Recent data on supernovae favor high values of the cosmological constant. Spacetimes with a cosmological constant have non–relativistic kinematics quite different from Galilean kinematics. De Sitter spacetimes, vacuum solutions of Einstein’s equations with a cosmological constant, reduce in the non–relativistic
The nonlinear Schrödinger equation and the conformal properties of nonrelativistic spacetime
, 2009
"... The cubic nonlinear Schrödinger equation where the coefficient of the nonlinear term is a function F(t,x) only passes the Painlevé test of Weiss, Tabor, and Carnevale only for F = (a+bt) −1, where a and b are constants. This is explained by transforming the timedependent system into the constantc ..."
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coefficient NLS by means of a timedependent nonlinear transformation, related to the conformal properties of nonrelativistic spacetime. A similar argument explains the integrability of the NLS in a uniform force field or in an oscillator background. The recent upsurge of interest in nonrelativistic conformal
Acta Futura Relativistic spacetime positioning: principles and strategies
, 2013
"... Abstract. Starting from the description of spacetime as a curved fourdimensional manifold, null Gaussian coordinates systems as appropriate for relativistic positioning will be discussed. Different approaches and strategies will be reviewed, implementing the null coordinates with both continuous a ..."
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Abstract. Starting from the description of spacetime as a curved fourdimensional manifold, null Gaussian coordinates systems as appropriate for relativistic positioning will be discussed. Different approaches and strategies will be reviewed, implementing the null coordinates with both continuous
The variablecoefficient nonlinear Schrödinger equation and the conformal properties of nonrelativistic spacetime
, 2009
"... The cubic nonlinear Schrödinger equation where the coefficient of the nonlinear term can be a function F(t,x), is shown to pass the Painlevé test of Weiss, Tabor, and Carnevale only for F = (a+bt) −1, where a and b are constants. This is explained by transforming the timedependent system into the ..."
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into the constantcoefficient NLS by means of a timedependent nonlinear transformation, related to the conformal properties of nonrelativistic spacetime. A similar argument explains the integrability of the NLS in a uniform force field or in an oscillator background. 1
Virtual time and global states of distributed systems.
 Proc. Workshop on Parallel and Distributed Algorithms,
, 1989
"... Abstract A distributed system can be characterized by the fact that the global state is distributed and that a common time base does not exist. However, the notion of time is an important concept in every day life of our decentralized \ r eal world" and helps to solve problems like getting a c ..."
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Cited by 742 (5 self)
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artially ordered a n d form a lattice. By using timestamps and a simple clock update mechanism the structure o f c ausality is represented in an isomorphic way. The new model of time has a close analogy to Minkowski's relativistic spacetime and leads among others to an interesting characterization
The Geometry of Relativistic Spacetime: from Euclid's Geometry to Minkowski's Spacetime
"... "...the word relativitypostulate for the requirement of the invariance under the group Gc seems to me very feeble. Since the postulate comes to mean that only the fourdimensional world in space and time is given by phenomena, but that the projection in space and in time may still be undertake ..."
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"...the word relativitypostulate for the requirement of the invariance under the group Gc seems to me very feeble. Since the postulate comes to mean that only the fourdimensional world in space and time is given by phenomena, but that the projection in space and in time may still be undertaken with a certain degree of freedom, I prefer to call it the postulate of the absolute world (or brie
y the worldpostulate)."
A Finite Difference Representation of Neutrino Radiation Hydrodynamics in Spherically Symmetric General Relativistic Spacetime
 ApJS
, 2004
"... We present an implicit finite difference representation for general relativistic radiation hydrodynamics in spherical symmetry. Our code, agileboltztran, solves the Boltzmann transport equation for the angular and spectral neutrino distribution functions in selfconsistent simulations of stellar co ..."
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Cited by 12 (3 self)
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We present an implicit finite difference representation for general relativistic radiation hydrodynamics in spherical symmetry. Our code, agileboltztran, solves the Boltzmann transport equation for the angular and spectral neutrino distribution functions in selfconsistent simulations of stellar
Noncommutative relativistic spacetimes and worldlines from 2+1 quantum (anti)de Sitter groups
, 2004
"... The κdeformation of the 2+1 antide Sitter, Poincaré and de Sitter groups is studied within a unified approach by considering explicitly the curvature of the spacetime (cosmological constant) as a parameter. The Drinfel’ddouble construction as well as the Poisson–Lie structure underlying the κdef ..."
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The κdeformation of the 2+1 antide Sitter, Poincaré and de Sitter groups is studied within a unified approach by considering explicitly the curvature of the spacetime (cosmological constant) as a parameter. The Drinfel’ddouble construction as well as the Poisson–Lie structure underlying the κ
Class. Quantum Grav. 14 (1997) A119–A126. Printed in the UK PII: S02649381(97)779589 Examples of Newtonian limits of relativistic spacetimes
"... Abstract. A frame theory encompassing general relativity and Newton–Cartan theory is reviewed. With its help, a definition is given for a oneparameter family of general relativistic spacetimes to have a Newton–Cartan or a Newtonian limit. Several examples of such limits are presented. PACS numbers: ..."
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Abstract. A frame theory encompassing general relativity and Newton–Cartan theory is reviewed. With its help, a definition is given for a oneparameter family of general relativistic spacetimes to have a Newton–Cartan or a Newtonian limit. Several examples of such limits are presented. PACS numbers
Results 1  10
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