# 3D simulations of linearized scalar fields in Kerr spacetime

@article{Scheel20043DSO, title={3D simulations of linearized scalar fields in Kerr spacetime}, author={Mark A. Scheel and Adrienne L. Erickcek and Lior M. Burko and Lawrence E. Kidder and Harald P. Pfeiffer and Saul A. Teukolsky California Institute of Technology and Princeton University and University of Utah and Cornell University}, journal={Physical Review D}, year={2004}, volume={69}, pages={104006} }

We investigate the behavior of a dynamical scalar field on a fixed Kerr background in Kerr-Schild coordinates using a (3+1)-dimensional spectral evolution code, and we measure the power-law tail decay that occurs at late times. We compare evolutions of initial data proportional to f(r)Y[script l]m(theta,phi), where Y[script l]m is a spherical harmonic and (r,theta,phi) are Kerr-Schild coordinates, to that of initial data proportional to f(rBL)Y[script l]m(thetaBL,phi), where (rBL,thetaBL) are… Expand

#### Figures and Tables from this paper

#### 38 Citations

Numerical investigation of the late-time Kerr tails

- Physics
- 2011

The late-time behavior of a scalar field on fixed Kerr background is examined in a numerical framework incorporating the techniques of conformal compactification and hyperbolic initial value… Expand

Late-time Kerr tails revisited

- Physics
- 2008

The decay rate of late-time tails in the Kerr spacetime has been the cause of numerous conflicting results, both analytical and numerical. In particular, there is much disagreement on whether the… Expand

Numerical solution of the 2 + 1 Teukolsky equation on a hyperboloidal and horizon penetrating foliation of Kerr and application to late-time decays

- Physics
- 2013

In this work, we present a formulation of the Teukolsky equation for generic spin perturbations on the hyperboloidal and horizon penetrating foliation of Kerr recently proposed by R?cz and T?th. An… Expand

Hyperboloidal slices for the wave equation of Kerr?Schild metrics and numerical applications

- Physics
- 2012

We present new results from two codes, using finite differencing and pseudospectral methods for the wave equations in (3+1) dimensions. We use a hyperboloidal transformation, which allows direct… Expand

High accuracy simulations of Kerr tails: coordinate dependence and higher multipoles

- Physics
- 2008

We investigate the late-time behavior of a scalar field on a fixed Kerr background using a 2 + 1 dimensional pseudo-spectral evolution code. We compare evolutions of pure axisymmetric multipoles in… Expand

Computing inspirals in Kerr in the adiabatic regime : I. The scalar case

- Physics
- 2005

A key source for LISA will be the inspiral of compact objects into massive black holes. Recently Mino has shown that in the adiabatic limit, gravitational waveforms for these sources can be computed… Expand

Late-time tails in the Kerr spacetime

- Physics
- 2007

Outside a black hole, perturbation fields die off in time as 1/tn. For spherical holes n = 2l + 3 where l is the multipole index. In the nonspherical Kerr spacetime there is no coordinate-independent… Expand

Three-dimensional Einstein-Klein-Gordon system in characteristic numerical relativity

- Physics
- 2005

We incorporate a massless scalar field into a 3-dimensional code for the characteristic evolution of the gravitational field. The extended 3-dimensional code for the Einstein–Klein–Gordon system is… Expand

Spectral Methods for Numerical Relativity

- Physics, Mathematics
- Living reviews in relativity
- 2009

This paper focuses on a class called spectral methods in which, typically, the various functions are expanded in sets of orthogonal polynomials or functions, and presents results obtained by various groups in the field of general relativity by means of spectral methods. Expand

On the use of multipole expansion in time evolution of nonlinear dynamical systems and some surprises related to superradiance

- Physics
- 2013

A new numerical method is introduced to study the problem of time evolution of generic nonlinear dynamical systems in four-dimensional spacetimes. It is assumed that the time level surfaces are… Expand

#### References

SHOWING 1-10 OF 26 REFERENCES

“A and B”:

- Sophonisba Breckinridge
- 2019

Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.

Phys

- Rev. D 66, 044008
- 2002

Phys

- Rev. D 61, 024033
- 2000

Comput

- 16, 542
- 1995

Phys

- Rev. D 5, 2419
- 1972

Acad

- Sci., Paris, C. R. 173, 677
- 1921

Commun

- Math. Phys. 240, 377
- 2003

Phys

- Rev. D 68, 044014
- 2003

Phys

- Rev. D 67, 081502(R)
- 2003

Phys

- Rev. D 68, 041501
- 2002