منابع مشابه
Gravitational energy in spherical symmetry.
Various properties of the Misner-Sharp spherically symmetric gravitational energy E are derived, and known properties reviewed. In the Newtonian limit, E yields the Newtonian mass to leading order and the Newtonian kinetic and potential energy to the next order. In vacuo, E reduces to the Schwarzschild parameter. At null and spatial infinity, E reduces to the Bondi-Sachs and Arnowitt-Deser-Misn...
متن کاملEnergy Levels in Complexes with Almost Spherical Symmetry
T H E R E is no reason for a M.O. in all cases to resemble orbitals adapted to spherical symmetry; this is known from atomic spectroscopy. In the next chapter we shall consider transitions which certainly cannot be described thus. The three ordinary transition groups present a partly filled shell which to some extent is intermediate between the subject of this and the following chapter. On the ...
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Circular data, i.e., data in the form of 'natural' directions or angles are very common in a number of di erent areas such as biological, meteorological, geological, and political sciences. Clustering circular data is not an easy task due to the circular geometry of the data space. Some clustering approaches, such as the spherical k-means, use the cosine distance instead of the euclidean distan...
متن کاملSpherical Gravitational Wave Detectors
Resonant bar gravitational wave detectors have improved greatly over the last 40 years but are currently completely outperformed by laser interferometer detectors. Spherical detector configuration has several advantages over conventional bar detectors and can be considered as the next generation of resonant gravitational wave antenna. In this report, I will give a brief introduction to gravitat...
متن کاملImpulsive spherical gravitational waves
Penrose’s identification with warp provides the general framework for constructing the continuous form of impulsive gravitational wave metrics. We present the 2-component spinor formalism for the derivation of the full family of impulsive spherical gravitational wave metrics which brings out the power in identification with warp and leads to the simplest derivation of exact solutions. These sol...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1996
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.53.1938