Journal ArticleDOI
Multipole structure of static continuous matter distributions in general relativity
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In this article, a mass skeleton is defined for a static extended body in a gravitational field, and an explicit form for this distribution in terms of the mass density and the scalar potential of the field is given.Abstract:
A mass skeleton is defined for a static extended body in a gravitational field. It is a scalar-valued distribution on a tangent space, and is equivalent to that part of the reduced multipole moment structure which describes the mass density of the body. An explicit form is given for this distribution in terms of the mass density and the scalar potential of the field. It is deduced that the mass skeleton and the scalar potential are not completely independent. The smoothness of the mass distribution imposes certain weak restrictions on those scalar potentials which are compatible with a given mass skeleton.read more
Citations
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Hydro-without-Hydro Framework for Simulations of Black Hole-Neutron Star Binaries
TL;DR: In this article, the authors introduce a computational framework which avoids solving explicitly hydrodynamic equations and is suitable for studying the pre-merger evolution of black hole-neutron star binary systems.
Journal ArticleDOI
Hydro-without-Hydro Framework for Simulations of Black Hole-Neutron Star Binaries
TL;DR: In this paper, the authors introduce a computational framework which avoids solving explicitly hydrodynamic equations and is suitable to study the premerger evolution of black hole-neutron star binary systems.
References
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Journal ArticleDOI
Spinning Test-Particles in General Relativity. II
TL;DR: In this article, a method for the derivation of the equations of motion of test particles in a given gravitational field is developed, where the transformation properties are discussed and the equation of motion is written in a covariant form.
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Dynamics of extended bodies in general relativity. I. Momentum and angular momentum
TL;DR: In this paper, the total momentum vector and spin tensor of an extended body in arbitrary gravitational and electromagnetic fields are defined, and the time dependence of M is studied, and shown to be expressible as the sum of two contributions, the change in a potential energy function and a term representing energy inductively absorbed.
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A covariant multipole formalism for extended test bodies in general relativity
TL;DR: In this article, a new treatment for the multipole theory of an extended test body in curved space-time is proposed, in which the effect of an electromagnetic field is included and in which a covariant definition of the world-line of the mass centre is retained throughout by the use of bitensors.
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Dynamics of extended bodies in general relativity. III. Equations of motion
TL;DR: In this paper, it was shown how to construct a set of reduced multipole moments of the charge-current vector for an extended body in arbitrary gravitational and electromagnetic fields, and the uniqueness of the chosen set of moments was investigated, leading to the discovery of properties which are sufficient to characterize them uniquely.