Rigidly rotating ZAMO surfaces in the Kerr spacetime

  title={Rigidly rotating ZAMO surfaces in the Kerr spacetime},
  author={Andrei V. Frolov and Valeri P. Frolov},
A stationary observer in the Kerr spacetime has zero angular momentum if his/her angular velocity ω has a particular value, which depends on the position of the observer. Worldlines of such zero angular momentum observers (ZAMOs) with the same value of the angular velocity ω form a three dimensional surface, which has the property that the Killing vectors generating time translation and rotation are tangent to it. We call such a surface a rigidly rotating ZAMO surface. This definition allows a… 

Figures from this paper

Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(–Droste) solution, and into
"Hybrid" Black Holes
We discuss a solution of the Einstein equations, obtained by gluing the external Kerr metric and the internal Weyl metric, describing an axisymmetric static vacuum distorted black hole. These metrics
Quasilocal energy and surface geometry of Kerr spacetime
In this paper, we study the quasi-local energy (QLE) and the surface geometry for Kerr spacetime in the Boyer-Lindquist coordinate without taking the slow rotation approximation. We also consider in


Black Holes: The Membrane Paradigm
The physics of black holes is explored in terms of a membrane paradigm which treats the event horizon as a two-dimensional membrane embedded in three-dimensional space. A 3+1 formalism is used to
The Mathematical Theory of Black Holes
In a course of lectures on the ‘underlying mathematical structures of classical gravitation theory’ given in 1978, Brandon Carter began with the statement ‘If I had been asked five years ago to
Black Hole Physics: Basic Concepts and New Developments, by Valeri P. Frolov and Igor D. Novikov
Preface. I. Basic Concepts. 1. Introduction: Brief History of Black Hole Physics. 2. Spherically Symmetric Black Holes. 3. Rotating Black Holes. 4. Black Hole Perturbations (with N. Andersson). 5.
Black holes
The observational evidence for black holes is reviewed, some recent developments involving cosmic censorship and the statistical origin of black hole entropy are described, and some of their properties are described.
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
  • Rev. D 72, 021501
  • 2005
  • Rev. D 49, 3946
  • 1994
  • Phys. B 325, 619
  • 1989