Frans Pretorius

Comment on "Kerr Black Holes as Particle Accelerators to Arbitrarily High Energy" (2009)

Berti, Emanuele, Cardoso, Vitor, Gualtieri, Leonardo, Pretorius, Frans, Sperhake, Ulrich

It has been suggested that rotating black holes could serve as particle colliders with arbitrarily high center-of-mass energy. Astrophysical limitations on the maximal spin, back-reaction effects and...

Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework (2009)

Yunes, Nicolas, Pretorius, Frans

We consider the concept of fundamental bias in gravitational wave astrophysics as the assumption that general relativity is the correct theory of gravity during the entire wave-generation and...

Testing gravitational-wave searches with numerical relativity waveforms: results from the first Numerical INJection Analysis (NINJA) project (2009)

Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., Brown, Duncan A., ...

The Numerical INJection Analysis (NINJA) project is a collaborative effort between members of the numerical relativity and gravitational-wave data analysis communities. The purpose of NINJA is to...

Ultra Relativistic Particle Collisions (2009)

Choptuik, Matthew W., Pretorius, Frans

We present results from numerical solution of the Einstein field equations describing the head-on collision of two solitons boosted to ultra relativistic energies. We show, for the first time, that...

Status of NINJA: the Numerical INJection Analysis project (2009)

Cadonati, Laura, Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., ...

The 2008 NRDA conference introduced the Numerical INJection Analysis project (NINJA), a new collaborative effort between the numerical relativity community and the data analysis community. NINJA...

Status of NINJA: the Numerical INJection Analysis project (2009)

Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., Brown, Duncan A., ...

The 2008 NRDA conference introduced the Numerical INJection Analysis project (NINJA), a new collaborative effort between the numerical relativity community and the data analysis community. NINJA...

Spikes in the Mixmaster regime of G_2 cosmologies (2009)

Lim, Woei Chet, Andersson, Lars, Garfinkle, David, Pretorius, Frans

We produce numerical evidence that spikes in the Mixmaster regime of G_2 cosmologies are transient and recurring, supporting the conjecture that the generalized Mixmaster behavior is asymptotically...

Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation (2009)

Yunes, Nicolas, Pretorius, Frans

The low-energy limit of string theory contains an anomaly-canceling correction to the Einstein-Hilbert action, which defines an effective theory: Chern-Simons (CS) modified gravity. The CS correction...

Testing gravitational-wave searches with numerical relativity waveforms: Results from the first Numerical INJection Analysis (NINJA) project (2009)

Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., Brown, Duncan A., ...

The Numerical INJection Analysis (NINJA) project is a collaborative effort between members of the numerical relativity and gravitational-wave data analysis communities. The purpose of NINJA is to...

Testing gravitational-wave searches with numerical relativity waveforms: Results from the first Numerical INJection Analysis (NINJA) project (2009)

Aylott, Benjamin, Baker, John G., Boggs, William D., Boyle, Michael, Brady, Patrick R., Brown, Duncan A., ...

The Numerical INJection Analysis (NINJA) project is a collaborative effort between members of the numerical relativity and gravitational-wave data analysis communities. The purpose of NINJA is to...

Spikes in the Mixmaster regime of G2 cosmologies (2009)

Lim, Woei Chet, Andersson, Lars, Garfinkle, David, Pretorius, Frans

We produce numerical evidence that spikes in the Mixmaster regime of G2 cosmologies are transient and recurring, supporting the conjecture that the generalized Mixmaster behavior is asymptotically...

High-Energy Collision of Two Black Holes (2008)

Sperhake, Ulrich, Cardoso, Vitor, Pretorius, Frans, Berti, Emanuele, González, José A.

We study the head-on collision of two highly boosted equal mass, nonrotating black holes. We determine the waveforms, radiated energies, and mode excitation in the center of mass frame for a variety...

Evolution to a smooth universe in an ekpyrotic contracting phase with w > 1 (2008)

Garfinkle, David, Lim, Woei Chet, Pretorius, Frans, Steinhardt, Paul J.

A period of slow contraction with equation of state w > 1, known as an ekpyrotic phase, has been shown to flatten and smooth the universe if it begins the phase with small perturbations. In this...

Evolution to a smooth universe in an ekpyrotic contracting phase with w>1 (2008)

Garfinkle, David, Lim, Woei Chet, Pretorius, Frans, Steinhardt, Paul J.

A period of slow contraction with equation of state w>1, known as an ekpyrotic phase, has been shown to flatten and smooth the universe if it begins the phase with small perturbations. In this paper,...

Binary Black Hole Coalescence (2007)

Pretorius, Frans

The two-body problem in general relativity is reviewed, focusing on the final stages of the coalescence of the black holes as uncovered by recent successes in numerical solution of the field...

A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case (2007)

Pan, Yi, Buonanno, Alessandra, Baker, John G., Centrella, Joan, Kelly, Bernard J., McWilliams, Sean T., ...

We compare waveforms obtained by numerically evolving nonspinning binary black holes to post-Newtonian (PN) template families currently used in the search for gravitational waves by ground-based...

Black Hole Mergers and Unstable Circular Orbits (2007)

Pretorius, Frans, Khurana, Deepak

We describe recent numerical simulations of the merger of a class of equal mass, non-spinning, eccentric binary black hole systems in general relativity. We show that with appropriate fine-tuning of...

Comparisons of binary black hole merger waveforms (2007)

Baker, John G., Campanelli, Manuela, Pretorius, Frans, Zlochower, Yosef

This a particularly exciting time for gravitational wave physics. Ground-based gravitational wave detectors are now operating at a sensitivity such that gravitational radiation may soon be directly...

Learning about compact binary merger: the interplay between numerical relativity and gravitational-wave astronomy (2006)

Baumgarte, Thomas, Brady, Patrick, Creighton, Jolien D E, Lehner, Luis, Pretorius, Frans, DeVoe, Ricky

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could...

Inspiral, merger and ring-down of equal-mass black-hole binaries (2006)

Buonanno, Alessandra, Cook, Gregory B., Pretorius, Frans

We investigate the dynamics and gravitational-wave (GW) emission in the binary merger of equal-mass black holes as obtained from numerical relativity simulations. Results from the evolution of three...

Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme (2006)

Pretorius, Frans

A numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details not provided before in the literature and that are of...

Evolution of Binary Black-Hole Spacetimes (2005)

Pretorius, Frans

We describe early success in the evolution of binary black-hole spacetimes with a numerical code based on a generalization of harmonic coordinates. Indications are that with sufficient resolution...

Adaptive Mesh Refinement for Coupled Elliptic-Hyperbolic Systems (2005)

Pretorius, Frans, Choptuik, Matthew W.

We present a modification to the Berger and Oliger adaptive mesh refinement algorithm designed to solve systems of coupled, non-linear, hyperbolic and elliptic partial differential equations. Such...

Evolution of Binary Black Hole Spacetimes (2005)

Pretorius, Frans

We describe early success in the evolution of binary black hole spacetimes with a numerical code based on a generalization of harmonic coordinates. Indications are that with sufficient resolution...

Numerical relativity using a generalized harmonic decomposition (2005)

Pretorius, Frans

A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic decomposition of the Ricci tensor is introduced. The source functions driving the wave equations that...

Numerical Relativity Using a Generalized Harmonic Decomposition (2004)

Pretorius, Frans

A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic decomposition of the Ricci tensor is introduced. The source functions driving the wave equations that...

Towards the final fate of an unstable black string (2003)

Choptuik, Matthew, Lehner, Luis, Olabarrieta, Ignacio (Iñaki), Petryk, Roman, Pretorius, Frans, Villegas, Hugo

Black strings, one class of higher dimensional analogues of black holes, were shown to be unstable to long wavelength perturbations by Gregory and Laflamme in 1992, via a linear analysis. We...

Critical collapse of the massless scalar field in axisymmetry (2003)

Choptuik, Matthew W., Hirschmann, Eric W., Liebling, Steven L., Pretorius, Frans

We present the results from a numerical study of critical gravitational collapse of axisymmetric distributions of massless scalar field energy. We find threshold behavior that can be described by the...

Adaptive Mesh Refinement for Characteristic Codes (2003)

Pretorius, Frans, Lehner, Luis

The use of adaptive mesh refinement (AMR) techniques is crucial for accurate and efficient simulation of higher dimensional spacetimes. In this work we develop an adaptive algorithm tailored to the...

Gravitational collapse in 2+1 dimensional AdS spacetime (2000)

Pretorius, Frans, Choptuik, Matthew W.

We present results of numerical simulations of the formation of black holes from the gravitational collapse of a massless, minimally-coupled scalar field in 2+1 dimensional, axially-symmetric, anti...

Quantum interest for scalar fields in Minkowski spacetime (1999)

Pretorius, Frans

The quantum interest conjecture of Ford and Roman states that any negative energy flux in a free quantum field must be preceded or followed by a positive flux of greater magnitude, and the surplus of...

Quasi-Spherical Light Cones of the Kerr Geometry (1998)

Pretorius, Frans, Israel, Werner

Quasi-spherical light cones are lightlike hypersurfaces of the Kerr geometry that are asymptotic to Minkowski light cones at infinity. We develop the equations of these surfaces and examine their...