The Kerr spacetime: A brief introduction

Abstract

This chapter provides a brief introduction to the Kerr spacetime and rotating black holes, touching on the most common coordinate representations of the spacetime metric and the key features of the geometry -- the presence of horizons and ergospheres. The coverage is by no means complete, and serves chiefly to orient oneself when reading subsequent chapters.

V2: 41 pages, 3 figures: Introductory chapter on the Kerr spacetime that is intended for use in the book "The Kerr spacetime", currently being edited by Susan Scott, Matt Visser, and David Wiltshire. It is not, nor is it intended to be, complete and exhaustive. 3 references added. 2 figures added. some typos fixed. minor rearrangements; V3: 3 added references, minor edits

References in corpus (5)

• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• A new form of the Kerr solution
• Vortex geometry for the equatorial slice of the Kerr black hole
• Properties of the instantaneous Ergo Surface of a Kerr Black Hole
• Nonstationary Kerr Congruences

Cited by in corpus (74)

• Analogue Gravity
• The Kerr/CFT Correspondence
• Quantum gravity without Lorentz invariance
• Black Hole Superradiance From Kerr/CFT
• Area products for stationary black hole horizons
• Janis-Newman algorithm: generating rotating and NUT charged black holes
• Test black holes, scattering amplitudes and perturbations of Kerr spacetime
• Effect of the quintessential dark energy on weak deflection angle by Kerr-Newmann Black hole
• Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
• Quantum communications and quantum metrology in the spacetime of a rotating planet
• A Rotation/Magnetism Analogy for the Quark-Gluon Plasma
• Isometry-preserving boundary conditions in the Kerr/CFT correspondence
• Implications of Symmetry and Pressure in Friedmann Cosmology. I. Formalism
• Numerical simulation of hot accretion flows (IV): effects of black hole spin and magnetic field strength on the wind and the comparison between wind and jet properties
• Superposed metric for spinning black hole binaries approaching merger
• The Kerr-Newman metric: A Review
• Are Black Holes Springy?
• Tolman-like temperature gradients in stationary spacetimes
• Killing tensor and Carter constant for Painleve-Gullstrand form of Lense-Thirring spacetime
• Rotating black hole solutions in relativistic analogue gravity
• A Note on Physical Mass and the Thermodynamics of AdS-Kerr Black Holes
• Some generalizations of the Raychaudhuri equation
• Discovering the interior of black holes
• Magnetospheres of black hole-neutron star binaries
• Untangling the Newman-Janis algorithm
• A novel scheme for simulating the force-free equations: boundary conditions and the evolution of solutions towards stationarity
• Vorticity in analogue spacetimes
• Cardy and Kerr
• Static and rotating universal horizons and black holes in gravitational theories with broken Lorentz invariance
• From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma
• The effect of gravitation on the polarization state of a light ray
• Five-dimensional Janis-Newman algorithm
• Properties of an axisymmetric Lorentzian non-commutative black hole
• Astrophysical jets from boosted compact objects
• General parametrization of higher-dimensional black holes and its application to Einstein-Lovelock theory
• Superradiance in massive vector fields with spatially varying mass
• Quantum effects in rotating reference frames
• Hořava-Lifshitz scalar field cosmology: classical and quantum viewpoints
• Rotating Kerr-Newman space-times in Metric-Affine Gravity
• Landau levels in a gravitational field: The Levi-Civita and Kerr spacetimes case
• Kerr Black Holes Are Not Fragile
• Universality of the Holographic Angular Momentum Cutoff
• Hamiltonian approach to black hole entropy: Kerr-like spacetimes
• Metric for Rotating object in Infrared Corrected Nonlocal Gravity Model
• Developments in Black Hole Research: Classical, Semi-classical, and Quantum
• Physically motivated ansatz for the Kerr spacetime
• The structure of the singular ring in Kerr-like metrics
• Distinguishing between Kerr and rotating JNW space-times via frame dragging and tidal effects
• Gravitational Redshift in Kerr - Newman Geometry
• Electrodynamics and spacetime geometry: Astrophysical applications
• Stability of circular geodesics in equatorial plane of Kerr spacetime
• Twisted Black Hole Is Taub-NUT
• Photon traps in nonlinear electrodynamics
• On Universality of Ergoregion Mergers
• Fluid analogs for rotating black holes
• An overview of the gravitational spin Hall effect
• Hypergraph Discretization of the Cauchy Problem in General Relativity via Wolfram Model Evolution
• Quantum-gravitational trans-Planckian energy of a time-dependent black hole
• On the Kerr metric in a synchronous reference frame
• Quasi-Local Energy of a Rotating Object Described by Kerr Spacetime
• Characterising the Most Rapidly Rotating AdS${}_5$-Kerr Black Holes
• Tensor Rank bounds for Point Singularities in ${\mathbb{R}}^3$
• Perturbations of the Kerr black hole in the class of axisymmetric artificial black holes
• Geometry of isolated horizons
• Artificial black holes
• Thermal radiation in curved spacetime using influence functional formalism
• Geometry of the doubly spinning Black Ring
• Ultrahigh energy cosmic ray nuclei from remnants of dead quasars
• Painlevé-Gullstrand-type coordinates for the five-dimensional Myers-Perry black hole
• Josephson Effects in Slowly Rotating Spacetimes
• On the nature of the black hole information problem
• Algebrodynamics: Shear-Free Null Congruences and New Types of Electromagnetic Fields
• Gravito-electromagnetism and decomposition of gravity
• How to "Censor" a Black Hole Singularity and Beyond