# New form of the Kerr solution

@article{Doran2000NewFO, title={New form of the Kerr solution}, author={C. Doran}, journal={Physical Review D}, year={2000}, volume={61}, pages={067503} }

A new form of the Kerr solution is presented. The solution involves a time coordinate which represents the local proper time for free-falling observers on a set of simple trajectories. Many physical phenomena are particularly clear when related to this time coordinate. The chosen coordinates also ensure that the solution is well behaved at the horizon. The solution is well suited to the tetrad formalism and a convenient null tetrad is presented. The Dirac Hamiltonian in a Kerr background is… Expand

#### 105 Citations

On the Kerr metric in a synchronous reference frame

- Physics
- 2021

The Kerr metric is considered in a synchronous frame of reference obtained by using proper time and initial conditions for particles that freely move along a certain set of trajectories as… Expand

A unifying coordinate family for the Kerr–Newman metric

- Physics
- 2009

A new unified metric form is presented for the Kerr–Newman geometry. The new form is a generalization of the Boyer–Lindquist metric involving an arbitrary gauge function of the spheroidal radial… Expand

Towards a Gordon form of the Kerr spacetime

- Physics
- 2018

It is not currently known how to put the Kerr spacetime metric into the so-called Gordon form, although the closely related Kerr-Schild form of the Kerr metric is well known. A Gordon form for the… Expand

Painlevé–Gullstrand coordinates for the Kerr solution

- Physics
- 2009

We construct a coordinate system for the Kerr solution, based on the zero angular momentum observers dropped from infinity, which generalizes the Painlevé–Gullstrand coordinate system for the… Expand

Trumpet slices in Kerr spacetimes.

- Physics, Medicine
- Physical review letters
- 2014

A new time-independent family of analytical coordinate systems for the Kerr spacetime representing rotating black holes is introduced and a (2+1)+1 formalism for the characterization of trumpet geometries is proposed. Expand

Hawking radiation via complex geodesics

- Physics
- 2018

We describe in detail the emission of massive particles from Kerr black hole by using complex trajectories, which are solutions to the Hamilton's equations of motion with imaginary proper time. The… Expand

KERR – SCHILD FIELDS AND GRAVITATIONAL SOURCES

- 2004

Kerr–Schild solutions to the vacuum Einstein equations are considered from the viewpoint of integral equations. We show that, for a class of Kerr–Schild fields, the stress-energy tensor can be… Expand

Integral equations, Kerr-Schild fields and gravitational sources

- Physics
- 2004

Kerr-Schild solutions to the vacuum Einstein equations are considered from the viewpoint of integral equations. We show that, for a class of Kerr-Schild fields, the stress-energy tensor can be… Expand

Metric-based Hamiltonians, null boundaries and isolated horizons

- Physics
- 2001

We extend the quasi-local (metric-based) Hamiltonian formulation of general relativity so that it may be used to study regions of spacetime with null boundaries. In particular, we use this… Expand

On regular frames near rotating black holes

- Physics
- 2018

We consider the metric of a generic axially symmetric rotating stationary black hole. The general approach is developed that enables us to construct coordinate frame regular near the horizon. As… Expand

#### References

SHOWING 1-10 OF 10 REFERENCES

Gravity, gauge theories and geometric algebra

- Physics
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 1998

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent… Expand

Rotating Astrophysical Systems and a Gauge Theory Approach to Gravity

- Physics
- 1997

We discuss three applications of a gauge theory of gravity to rotating astrophysical systems. The theory employs gauge fields in a flat Minkowski background spacetime to describe gravitational… Expand

Microwave background anisotropies and non-linear structures — I. Improved theoretical models

- Physics
- 1999

A new method is proposed for modelling spherically symmetric inhomogeneities in the Universe. The inhomogeneities have finite size and are compensated, so they do not exert any measurable… Expand

Kerr Metric Black Holes

- Physics, Medicine
- Nature
- 1970

LYNDEN-BELL has suggested1 that a massive collapsed object may lie at the centre of many galaxies, including our own, and that a continuing flux of matter into such a collapsed object, or “black… Expand

The Mathematical Theory of Black Holes

- Physics
- 1983

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… Expand

Space-time algebra

- Mathematics
- 1966

Preface to the Second Edition.- Introduction.- Part I:Geometric Algebra.- 1.Intrepretation of Clifford Algebra.- 2.Definition of Clifford Algebra.- 3.Inner and Outer Products.- 4.Structure of… Expand

Quantum Field Theory

- Physics
- 1999

Quantum field theory is the framework in which the regnant theories of the electroweak and strong interactions, which together form the standard model, are formulated. Quantum electrodynamics (QED),… Expand

Introducing Einstein's Relativity

- Physics
- 1993

PART A: SPECIAL RELATIVITY PART B: THE FORMALISM OF TENSORS PART C: GENERAL RELATIVITY PART D: BLACK HOLES PART E: GRAVITATIONAL WAVES PART F: COSMOLOGY

Bardeen . Kerr metric black holes

- Nature
- 1970