Exact Solutions and Scalar Fields in Gravity - Instituto Avanzado de ...

viii EXACT SOLUTIONS AND SCALAR FIELDS IN GRAVITY
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6.1 Maximally Symmetric Totally Geodesic Hypersurface
Totally Geodesic Sub–spaces
7.1 Maximally Symmetric Totally Geodesic Sub–spaces
The 2+1 BTZ Solution as Hypersurface of the 3+1 PC Metric
8.1 The Static BTZ Solution as Anti– de–Sitter Metric
Discussion of the theta formula for the Ernst potential of the rigidly rotating
disk of dust
Andreas Kleinwächter
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The theta formula for the Ernst potential
Calculation of the arguments
Transformation of the theta formula
Applications
Appendix
The superposition of null dust beams in General Relativity
Dietrich Kramer
1 Introduction
2 The superposition of spherically symmetric beams of null dust
3 The gravitational field of two counter–moving beams of light
3.1 The problem to be solved. Basic assumptions
3.2 The static solution
3.3 The stationary solution
3.4 Other solutions
4 Discussion
Solving equilibrium problem for the double–Kerr spacetime
Vladimir S. Manko, Eduardo Ruiz
1 Introduction
2 A short history of the problem
3 A new approach to the double–Kerr equilibrium problem
4 The Komar masses and angular momenta
5 Towards the analysis of the multi–black hole equilibrium states
Rotating equilibrium configurations in Einstein’s theory of gravitation
Reinhard Meinel
1 Figures of equilibrium of rotating fluid masses
2 Rotating dust configurations – The Maclaurin disk
3 General–relativistic continuation
4 Black–hole limit
5 Discussion
Integrability of SDYM Equations for the Moyal Bracket Lie Algebra
M. Przanowski, J.F. Plebański, S. Formański
1 Introduction
2 Nonlocal conservation laws
3 Linear systems for ME
4 Twistor construction
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