Approximate solutions of Einstein's vacuum field equations in the type N, twisting and diverging case

Classical and Quantum Gravity

Volumn 16, Issue 7, 1999, Pages 2259-2268

  MacAlevey, Paul ^a  

^a UNIVERSITY OF TEXAS AT DALLAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033243663     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/16/7/308     Document Type: Article

References (13)

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2. Sommers P and Walker M 1976 A note on Hauser's type N gravitational field with twist J. Phys. 9 357-67
3. Stephani H 1993 A note on the solutions of the diverging twisting, type N, vacuum field equations Class. Quantum Grav. 10 2187-90
4. Finley J D, Plebański J F and Przanowski M 1997 An iterative approach to twisting and diverging, type N vacuum Einstein equations: a (third order) resolution of Stephani's paradox Class. Quantum Grav. 14 489-97
5. Kramer D, Stephani H, MacCallum MAH and Herlt E 1980 Exact Solutions of Einstein's Field Equations ed E Schmutzer (Berlin: VEB)
6. Palacios L and Plebáski J F A note on the iterative approach to twisting type N solutions Unpublished work available from http://www.lanl.gov/archive/gr-qc as Preprint gr-qc/980521
7. Bičák J and Pravda V 1998 Curvature invariants in type N spacetime Class. Quantum Grav. 15 1539-55
8. Robinson I, Robinson J R and Zund J D 1969 Degenerate gravitational fields with twisting rays J. Math. Mech. 18 881-92
9. MacAlevey P and Robinson I 1998 An invariant of type N spaces Class. Quantum Grav. 15 3935-6
10. Trautman A 1962 Analytic solutions of Lorentz-invariant linear equations Proc. R. Soc. A 270 326-8
11. Penrose R 1966 Twistor algebra J. Math. Phys. 8 345-66
12. Lewy H 1957 An example of a smooth partial differential equation without solutions Ann. Math. 66 155-9
13. Geroch R 1969 Limits of spacetimes Commun. Math. Phys. 13 180-93