Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Gernot Neugebauer"'
This book treats the classical problem of gravitational physics within Einstein's theory of general relativity. It presents basic principles and equations needed to describe rotating fluid bodies, as well as black holes in equilibrium. It then goes o
Publikováno v:
Relativistic Figures of Equilibrium
Publikováno v:
Relativistic Figures of Equilibrium. :203-207
In this appendix, we discuss an alternative representation of the solution for the rigidly rotating disc of dust. The underlying mathematical structure of this formulation is given through the so-called Backlund transformation, which is a technique t
Publikováno v:
Relativistic Figures of Equilibrium. :187-192
In this appendix we provide some basic definitions and relations for functions that play an important role in Section 2.3. We shall not provide the related mathematical theory nor discuss theta functions in generality here. Starting from the (usual)
Publikováno v:
Relativistic Figures of Equilibrium
Publikováno v:
Journal of Mathematical Physics. 38:4692-4695
We define Vandermonde-like determinants and analyze their structure. The resulting scheme is well-suited to achieve a remarkable compactness and transparency in N-soliton formulas or, more generally, in formulas for N-fold Darboux or Backlund transfo
Publikováno v:
Physics Letters A. 200:82-86
The gravitational multipole moments of the asymptotically flat global solution to Einstein's equations describing a rigidly rotating disk of dust are calculated and discussed. The so-called rotational multipole moments (higher than the angular moment