Built on

Cambridge University Press, 1989
M. W. Choptuik, “Experiences with an adaptive mesh refinement algorithm in numerical relativity,” in Frontiers in numerical relativity · 1989
Earlier work this paper cites.
M. W. Choptuik, “Universality and scaling in gravitational collapse of a massless scalar field,” Phys.Rev.Lett
1993
Earlier work this paper cites.
F. Pretorius and M. W. Choptuik, “Gravitational collapse in (2+1)-dimensional AdS space-time,” Phys.Rev
2000
Earlier work this paper cites.
D. Astefanesei and E. Radu, “Boson stars with negative cosmological constant,” Nucl.Phys
2003
Earlier work this paper cites.
M. T. Anderson, “On the uniqueness and global dynamics of AdS spacetimes,” Class.Quant.Grav
2006
Earlier work this paper cites.
L. Lehner, S. L. Liebling, and O. Reula, “AMR, stability and higher accuracy,” Class.Quant.Grav
2006
Earlier work this paper cites.
C. Gundlach and J. M. Martin-Garcia, “Critical phenomena in gravitational collapse,” Living Rev.Rel
Original
2007
Earlier work this paper cites.

Similar

P. Bizon and A. Rostworowski, “On weakly turbulent instability of anti-de Sitter space,” Phys.Rev.Lett
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Closest in time.
O. J. Dias, G. T. Horowitz, D. Marolf, and J. E. Santos, “On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions,” Class.Quant.Grav
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2012
Closest in time.
A. Buchel, L. Lehner, and S. L. Liebling, “Boson stars in AdS,” in preparation
2012
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2012

Scalar Collapse in AdS

Buchel, Alex, Lehner, Luis, Liebling, Steven L.

Understand

Recently, studies of the gravitational collapse of a scalar field within spherically symmetric AdS spacetimes was presented in \cite{Bizon:2011gg,Jalmuzna:2011qw} which showed an instability of pure AdS to black hole formation.

In particular, the work showed that arbitrarily small initial configurations of scalar field evolved through some number of reflections off the AdS boundary until a black hole forms.
We consider this same system, extended to include a complex scalar field, and reproduce this phenomena.
We present tests of our numerical code that demonstrate convergence and consistency.

Built on

Cambridge University Press, 1989
M. W. Choptuik, “Experiences with an adaptive mesh refinement algorithm in numerical relativity,” in Frontiers in numerical relativity · 1989
Earlier work this paper cites.
M. W. Choptuik, “Universality and scaling in gravitational collapse of a massless scalar field,” Phys.Rev.Lett
1993
Earlier work this paper cites.
F. Pretorius and M. W. Choptuik, “Gravitational collapse in (2+1)-dimensional AdS space-time,” Phys.Rev
2000
Earlier work this paper cites.
D. Astefanesei and E. Radu, “Boson stars with negative cosmological constant,” Nucl.Phys
2003
Earlier work this paper cites.
M. T. Anderson, “On the uniqueness and global dynamics of AdS spacetimes,” Class.Quant.Grav
2006
Earlier work this paper cites.
L. Lehner, S. L. Liebling, and O. Reula, “AMR, stability and higher accuracy,” Class.Quant.Grav
2006
Earlier work this paper cites.
C. Gundlach and J. M. Martin-Garcia, “Critical phenomena in gravitational collapse,” Living Rev.Rel
Original
2007
Earlier work this paper cites.

Similar

P. Bizon and A. Rostworowski, “On weakly turbulent instability of anti-de Sitter space,” Phys.Rev.Lett
Original
2011
Cited alongside, same era.
J. Jalmuzna, A. Rostworowski, and P. Bizon, “A Comment on AdS collapse of a scalar field in higher dimensions,” Phys.Rev
Original
2011
Cited alongside, same era.
D. Garfinkle and L. A. Pando Zayas, “Rapid Thermalization in Field Theory from Gravitational Collapse,” Phys.Rev
Original
2011
Cited alongside, same era.
M. Dafermos. Private communication, (2011)
2011
Cited alongside, same era.
D. Garfinkle, L. A. Pando Zayas, and D. Reichmann, “On Field Theory Thermalization from Gravitational Collapse,” JHEP
Original
2012
Cited alongside, same era.

Then

A. Ishibashi and K. Maeda, “Singularities in asymptotically anti-de Sitter spacetimes,” Phys.Rev
Original
2012
Closest in time.
O. J. Dias, G. T. Horowitz, D. Marolf, and J. E. Santos, “On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions,” Class.Quant.Grav
Original
2012
Closest in time.
A. Buchel, L. Lehner, and S. L. Liebling, “Boson stars in AdS,” in preparation
2012
Closest in time.
M. Maliborski, “Instability of Minkowski spacetime enclosed in a cavity,” Phys.Rev.Lett
Original
2012
Closest in time.
M. Frigo and S. G. Johnson, “Fastest fourier transform in the west (fftw).” http://www.fftw.org/ , 2012
2012
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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O. J. Dias, G. T. Horowitz, and J. E. Santos, “Gravitational Turbulent Instability of Anti-de Sitter Space,” Class.Quant.Grav

Original

2012

Cited alongside, same era.

H. de Oliveira, L. A. P. Zayas, and E. Rodrigues, “A Kolmogorov-Zakharov Spectrum in A d S AdS Gravitational Collapse,” arXiv:1209.2369 [hep-th]

Original

Cited in the paper.

A. Buchel, L. Lehner, and R. C. Myers, “Thermal quenches in N=2* plasmas,” JHEP

Original

2012

Closest in time.