Radiation from a D-dimensional collision of shock waves: numerical methods - INSPIRE

DataBETA

Radiation from a D-dimensional collision of shock waves: numerical methods

Marco O. P. Sampaio
(
- Aveiro U.
)

Jun 4, 2013

37 pages

Part of Proceedings, Spring School on Numerical Relativity and High Energy Physics (NR/HEP2) : Lisbon, Portugal, March 11-14, 2013

Published in:

Int.J.Mod.Phys.A 28 (2013) 1340019

Contribution to:

- NR/HEP2

Published: 2013

e-Print:

1306.0903 [gr-qc]

DOI:

10.1142/S0217751X13400198

View in:

ADS Abstract Service

reference search8 citations

Citations per year

Abstract: (arXiv)

We present a pedagogical introduction to the problem of evolving a head on collision of two Aichelburg-Sexl gravitational shock waves in D-dimensions, using perturbative techniques. We follow a constructive approach with examples, going in some detail through: the set up of the exact initial conditions and their properties; perturbative methods in flat space-time with Green function solutions; and numerical strategies to evaluate the integral solutions. We also discuss, briefly, radiation extraction methods adapted to this problem, together with some of the results for this system.

Note:

Lecture notes from the NRHEP spring school held at IST-Lisbon, March 2013. Extra material and notebooks available online at http://blackholes.ist.utl.pt/nrhep2/ To be published by IJMPA (V. Cardoso, L. Gualtieri, C. Herdeiro and U. Sperhake, Eds., 2013)

04.60.Bc
04.30.Db
04.50.-h
Black hole collisions
Gravitational radiation
Numerical methods
shock waves
boundary condition
numerical methods
constructive

References(40)

Figures(22)

[1]

NR/HEP: roadmap for the future

Vitor Cardoso
(
- Lisbon, CENTRA and
- Mississippi U.
)
,
Leonardo Gualtieri
(
- Rome U. and
- INFN, Rome
)
,
Carlos Herdeiro
(
- Aveiro U.
)
,
Ulrich Sperhake
(
- Lisbon, CENTRA and
- ICE, Bellaterra and
- Caltech
)
,
Paul M. Chesler
(
- MIT
)

et al.

- Class.Quant.Grav. 29 (2012) 244001
•
e-Print:
- 1201.5118
•
DOI:
- 10.1088/0264-9381/29/24/244001

[2]

(2013)

R. Emparan
,
R. Suzuki
,
K. Tanabe

[3]

Radiation from a D-dimensional collision of shock waves: an insight allowed by the D parameter

[4]

Graviton Dominance in Ultrahigh-Energy Scattering

Gerard 't Hooft
(
- Utrecht U.
)

- Phys.Lett.B 198 (1987) 61-63
•
DOI:
- 10.1016/0370-2693(87)90159-6

[5]

High-energy colliders as black hole factories: The End of short distance physics

Steven B. Giddings
(
- UC, Santa Barbara and
- Santa Barbara, KITP
)
,
Scott D. Thomas
(
- Santa Barbara, KITP and
- Stanford U., Phys. Dept.
)

- Phys.Rev.D 65 (2002) 056010
•
e-Print:
- hep-ph/0106219
•
DOI:
- 10.1103/PhysRevD.65.056010

[6]

Black holes from colliding wavepackets

Steven B. Giddings
(
- Santa Barbara, KITP and
- UC, Santa Barbara
)
,
Vyacheslav S. Rychkov
(
- Amsterdam U.
)

- Phys.Rev.D 70 (2004) 104026
•
e-Print:
- hep-th/0409131
•
DOI:
- 10.1103/PhysRevD.70.104026

[7]

The High-energy collision of two black holes

Ulrich Sperhake
(
- Jena U., TPI
)
,
Vitor Cardoso
(
- Lisbon, CENTRA and
- Lisbon, IST and
- Mississippi U.
)
,
Frans Pretorius
(
- Princeton U.
)
,
Emanuele Berti
(
- Caltech, JPL
)
,
Jose A. Gonzalez
(
- IFM-UMSNH, Michoacan
)

- Phys.Rev.Lett. 101 (2008) 161101
•
e-Print:
- 0806.1738
•
DOI:
- 10.1103/PhysRevLett.101.161101

[8]

Ultra Relativistic Particle Collisions

- Phys.Rev.Lett. 104 (2010) 111101
•
e-Print:
- 0908.1780
•
DOI:
- 10.1103/PhysRevLett.104.111101

[9]

Ultrarelativistic black hole formation

William E. East
(
- Princeton U.
)
,
Frans Pretorius
(
- Princeton U.
)

- Phys.Rev.Lett. 110 (2013) 10, 101101
•
e-Print:
- 1210.0443
•
DOI:
- 10.1103/PhysRevLett.110.101101

[10]

High Speed Black Hole Encounters and Gravitational Radiation

P.D. D'Eath
(
- Cambridge U.
)

- Phys.Rev.D 18 (1978) 990
•
DOI:
- 10.1103/PhysRevD.18.990

[11]

Gravitational radiation in high speed black hole collisions. 1. Perturbation treatment of the axisymmetric speed of light collision

P.D. D'Eath
(
- Cambridge U.
)
,
P.N. Payne

- Phys.Rev.D 46 (1992) 658-674
•
DOI:
- 10.1103/PhysRevD.46.658

[12]

Gravitational radiation in high speed black hole collisions. 2. Reduction to two independent variables and calculation of the second order news function

P.D. D'Eath
(
- Cambridge U.
)
,
P.N. Payne

- Phys.Rev.D 46 (1992) 675-693
•
DOI:
- 10.1103/PhysRevD.46.675

[13]

Gravitational radiation in high speed black hole collisions. 3. Results and conclusions

P.D. D'Eath
(
- Cambridge U.
)
,
P.N. Payne

- Phys.Rev.D 46 (1992) 694-701
•
DOI:
- 10.1103/PhysRevD.46.694

[14]

Classical black hole production in high-energy collisions

- Phys.Rev.D 66 (2002) 044011
•
e-Print:
- gr-qc/0201034
•
DOI:
- 10.1103/PhysRevD.66.044011

[15]

Black hole production in particle collisions and higher curvature gravity

Vyacheslav S. Rychkov
(
- Amsterdam U.
)

- Phys.Rev.D 70 (2004) 044003
•
e-Print:
- hep-ph/0401116
•
DOI:
- 10.1103/PhysRevD.70.044003

[16]

Improved analysis of black hole formation in high-energy particle collisions

Hirotaka Yoshino
(
- Nagoya U.
)
,
Vyacheslav S. Rychkov
(
- Amsterdam U.
)

- Phys.Rev.D 71 (2005) 104028,
- Phys.Rev.D 77 (2008) 089905 (erratum)
•
e-Print:
- hep-th/0503171
•
DOI:
- 10.1103/PhysRevD.71.104028

[17]

Radiation from a D-dimensional collision of shock waves: First order perturbation theory

Carlos Herdeiro
(
- Aveiro U.
)
,
Marco O.P. Sampaio
(
- Aveiro U. and
- CERN
)
,
Carmen Rebelo
(
- Aveiro U.
)

- JHEP 07 (2011) 121
•
e-Print:
- 1105.2298
•
DOI:
- 10.1007/JHEP07(2011)121

[18]

Radiation from a D-dimensional collision of shock waves: a remarkably simple fit formula

- Phys.Rev.Lett. 108 (2012) 181102
•
e-Print:
- 1203.5355
•
DOI:
- 10.1103/PhysRevLett.108.181102

[19]

Radiation from a D-dimensional collision of shock waves: Higher-order setup and perturbation theory validity

- Phys.Rev.D 87 (2013) 084034
•
e-Print:
- 1206.5839
•
DOI:
- 10.1103/PhysRevD.87.084034

[20]

The Hierarchy problem and new dimensions at a millimeter

Nima Arkani-Hamed
(
- SLAC
)
,
Savas Dimopoulos
(
- Stanford U., Phys. Dept.
)
,
G.R. Dvali
(
- ICTP, Trieste
)

- Phys.Lett.B 429 (1998) 263-272
•
e-Print:
- hep-ph/9803315
•
DOI:
- 10.1016/S0370-2693(98)00466-3

[21]

Black holes at the LHC

- Phys.Rev.Lett. 87 (2001) 161602
•
e-Print:
- hep-ph/0106295
•
DOI:
- 10.1103/PhysRevLett.87.161602

[22]

Phenomenology of Production and Decay of Spinning Extra-Dimensional Black Holes at Hadron Colliders

James A. Frost
(
- Cambridge U.
)
,
Jonathan R. Gaunt
(
- Cambridge U.
)
,
Marco O.P. Sampaio
(
- Cambridge U.
)
,
Marc Casals
(
- Lisbon, CENTRA
)
,
Sam R. Dolan
(
- University Coll., Dublin
)

et al.

- JHEP 10 (2009) 014
•
e-Print:
- 0904.0979
•
DOI:
- 10.1088/1126-6708/2009/10/014

[23]

BlackMax: A black-hole event generator with rotation, recoil, split branes, and brane tension

De-Chang Dai
(
- Case Western Reserve U.
)
,
Glenn Starkman
(
- Case Western Reserve U.
)
,
Dejan Stojkovic
(
- SUNY, Buffalo
)
,
Cigdem Issever
(
- Oxford U.
)
,
Eram Rizvi
(
- Queen Mary, U. of London
)

et al.

- Phys.Rev.D 77 (2008) 076007
•
e-Print:
- 0711.3012
•
DOI:
- 10.1103/PhysRevD.77.076007

[24]

Angular correlations in TeV-gravity black hole events

Marco O.P. Sampaio
(
- Aveiro U.
)

- JHEP 03 (2012) 066
•
e-Print:
- 1201.2422
•
DOI:
- 10.1007/JHEP03(2012)066

[25]

Search for Microscopic Black Hole Signatures at the Large Hadron Collider

CMS

Collaboration

•

Vardan Khachatryan
(
- Yerevan Phys. Inst.
)

et al.

- Phys.Lett.B 697 (2011) 434-453
•
e-Print:
- 1012.3375
•
DOI:
- 10.1016/j.physletb.2011.02.032

1-25 of 40
1
2
25 / page