Fermi coordinates and Penrose limits

Classical and Quantum Gravity

Volumn 23, Issue 11, 2006, Pages 3993-4010

  Blau, Matthias ^a   Frank, Denis ^a   Weiss, Sebastian ^a  

^a UNIVERSITY OF NEUCHÂTEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646731316     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/23/11/020     Document Type: Article

References (32)

1. Blau M, Borunda M, O'Loughlin M and Papadopoulos G 2004 Penrose limits and spacetime singularities Class. Quantum Grav. 21 L43-9 (Preprint hep-th/0312029)
2. Blau M, Figueroa-O'Farrill J, Hull C and Papadopoulos G 2002 A new maximally supersymmetric background of IIB superstring theory J. High Energy Phys. JHEP01(2002)047 (Preprint hep-th/0110242)
3. Metsaev R R 2002 Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background Nucl. Phys. B 625 70-96 (Preprint hep-th/0112044)
4. Metsaev R R and Tseytlin A A 2002 Exactly solvable model of superstring in Ramond-Ramond plane wave background Phys. Rev. D 65 126004 (Preprint hep-th/0202109)
5. Blau M, Figueroa-O'Farrill J, Hull C and Papadopoulos G 2002 Penrose limits and maximal supersymmetry Class. Quantum Grav. 19 L87-95 (Preprint hep-th/0201081)
6. Berenstein D, Maldacena J and Nastase H 2002 Strings in flat space and pp waves from super Yang Mills J. High Energy Phys. JHEP04(2002)013 (Preprint hep-th/0202021)
7. Sadri D and Sheikh-Jabbari M 2004 The plane-wave super Yang-Mills duality Rev. Mod. Phys. 76 853 (Preprint hep-th/0310119)
8. Penrose R 1976 Any space-time has a plane wave as a limit Differential Geometry and Relativity (Dordrecht: Reidel) pp 271-5
9. Gueven R 2000 Plane wave limits and T-duality Phys. Lett. B 482 255-63 (Preprint hep-th/0005061)
10. Blau M, Figueroa-O'Farrill J and Papadopoulos G 2002 Penrose limits, supergravity and brane dynamics Class. Quantum Grav. 19 4753 (Preprint hep-th/0202111)
11. Blau M, Borunda M, O'Loughlin M and Papadopoulos G 2004 The universality of Penrose limits near space-time singularities J. High Energy Phys. JHEP07(2004)068 (Preprint hep-th/0403252)
12. Synge J L 1960 Relativity: The General Theory (Amsterdam: North-Holland)
13. Poisson E 2004 A Relativist's Toolkit (Cambridge: Cambridge University Press)
14. Poisson E 2004 The motion of point particles in curved spacetime Living Rev. Rel. 7 6 http://www.livingreviews.org/lrr-2004-6 (Preprint gr-qc/0306052)
15. Manasse F and Misner C 1963 Fermi normal coordinates and some basic concepts in differential geometry J. Math. Phys. 4 735-45
16. Horowitz G T and Steif A R 1990 Strings in strong gravitational fields Phys. Rev. D 42 1950-9
17. Rudd R 1994 Light-cone gauge quantization of 2D sigma models Nucl. Phys. B 427 81-110 (Preprint hep-th/9402106)
18. Parnachev A and Ryzhov A 2002 Strings in the near plane wave background and AdS/CFT J. High Energy Phys. JHEP10(2002)066 (Preprint hep-th/0208010)
19. 5: beyond the pp-wave Nucl. Phys. B 673 3-40 (Preprint hep-th/0307032)
20. Callan C, McLoughlin T and Swanson I 2004 Holography beyond the Penrose limit Nucl. Phys. B 694 115-69 (Preprint hep-th/0404007)
21. Kunze K 2004 Asymptotic behaviour of curvature and matter in the Penrose limit Preprint gr-qc/0411115
22. Bondi H, van der Burg M and Metzner A 1962 Gravitational waves in general relativity: VII. Waves from isolated axisymmetric systems Proc. R. Soc. A 269 21
23. Sachs R 1962 Gravitational waves in general relativity: VIII. Waves in asymptotically flat space-time Proc. R. Soc. A 270 103
24. Newman E T and Penrose R 1962 An approach to gravitational radiation by a method of spin coefficients J. Math. Phys. 3 566
25. Coley A, Milson R, Pravda V and Pravdova A 2004 Classification of the Weyl tensor in higher dimensions Class. Quantum Grav. 21 L35-42 (Preprint gr-qc/0401008)
26. Milson R, Coley A, Pravda V and Pravdova A 2005 Alignment and algebraically special tensors in Lorentzian geometry Int. J. Geom. Meth. Mod. Phys. 2 41-61 (Preprint gr-qc/0401010)
27. Pravdova A, Pravda V and Coley A 2005 A note on the peeling theorem in higher dimensions Class. Quantum Grav. 22 2535-8 (Preprint gr-qc/0505026)
28. Blau M and O'Loughlin M 2003 Homogeneous plane waves Nucl. Phys. B 654 135-76 (Preprint hep-th/0212135)
29. Hawking S and Ellis G 1973 The Large-Scale Structure of Space-Time (Cambridge: Cambridge University Press)
30. Li W-Q and Ni W-T 1979 Expansions of the affinity, metric and geodesic equations in Fermi normal coordinates about a geodesic J. Math. Phys. 20 1925-9
31. 5: κ-symmetry light cone gauge Phys. Rev. D 63 046002 (Preprint hep-th/0007036)
32. Metsaev R, Thorn C and Tseytlin A 2001 Light-cone superstring in AdS space-time Nucl. Phys. B 596 151-84 (Preprint hep-th/0009171)