Invariant Representation of All Analytic Petrov Type III Solutions to the Einstein Equations

Carl H. Brans

doi:10.1063/1.1665250

Invariant Representation of All Analytic Petrov Type III Solutions to the Einstein Equations

Journal of Mathematical Physics ◽

10.1063/1.1665250 ◽

1970 ◽

Vol 11 (4) ◽

pp. 1210-1218 ◽

Cited By ~ 5

Author(s):

Carl H. Brans

Keyword(s):

Einstein Equations ◽

Petrov Type ◽

Invariant Representation ◽

Type Iii

Download Full-text

A unique and invariant representation of all local analytic solutions to the vacuum einstein equations, petrov type III

Lettere al Nuovo Cimento ◽

10.1007/bf02755720 ◽

1969 ◽

Vol 2 (15) ◽

pp. 699-702

Author(s):

C. H. Brans

Keyword(s):

Analytic Solutions ◽

Einstein Equations ◽

Petrov Type ◽

Invariant Representation ◽

Type Iii ◽

Vacuum Einstein Equations

Download Full-text

Complex 2‐Form Representation of the Einstein Equations: The Petrov Type III Solutions

Journal of Mathematical Physics ◽

10.1063/1.1665783 ◽

1971 ◽

Vol 12 (8) ◽

pp. 1616-1619 ◽

Cited By ~ 12

Author(s):

Carl H. Brans

Keyword(s):

Einstein Equations ◽

Petrov Type ◽

Type Iii ◽

Form Representation

Download Full-text

On the absence of the Painlevé property in Petrov type III Robinson–Trautman solutions

Journal of Mathematical Physics ◽

10.1063/1.530370 ◽

1993 ◽

Vol 34 (10) ◽

pp. 4755-4759

Author(s):

A. Garcia‐Díaz ◽

J. F. Plebański ◽

N. R. Sibgatullin

Keyword(s):

Petrov Type ◽

Type Iii ◽

Painlevé Property

Download Full-text

Shear-free perfect fluids in general relativity: IV. Petrov type III spacetimes

Classical and Quantum Gravity ◽

10.1088/0264-9381/14/5/020 ◽

1997 ◽

Vol 14 (5) ◽

pp. 1167-1181 ◽

Cited By ~ 13

Author(s):

J Carminati ◽

S Cyganowski

Keyword(s):

General Relativity ◽

Petrov Type ◽

Type Iii ◽

Perfect Fluids

Download Full-text

Shear‐free perfect fluids in general relativity II. Aligned, Petrov type III space‐times

Journal of Mathematical Physics ◽

10.1063/1.528849 ◽

1990 ◽

Vol 31 (10) ◽

pp. 2434-2440 ◽

Cited By ~ 15

Author(s):

J. Carminati

Keyword(s):

General Relativity ◽

Petrov Type ◽

Type Iii ◽

Perfect Fluids

Download Full-text

Shear-free perfect fluids in general relativity: III. Petrov type III spacetimes

Classical and Quantum Gravity ◽

10.1088/0264-9381/13/7/014 ◽

1996 ◽

Vol 13 (7) ◽

pp. 1805-1817 ◽

Cited By ~ 10

Author(s):

J Carminati ◽

S Cyganowski

Keyword(s):

General Relativity ◽

Petrov Type ◽

Type Iii ◽

Perfect Fluids

Download Full-text

A Petrov type-III perfect fluid solution of Einstein's equations

General Relativity and Gravitation ◽

10.1007/bf00756362 ◽

1981 ◽

Vol 13 (11) ◽

pp. 1017-1020 ◽

Cited By ~ 6

Author(s):

J. A. Allnutt

Keyword(s):

Perfect Fluid ◽

Petrov Type ◽

Fluid Solution ◽

Einstein’S Equations ◽

Perfect Fluid Solution ◽

Einstein's Equations ◽

Type Iii

Download Full-text

An Explicit Determination of the Non-self-adjoint Wave Equations that Satisfy Huygens’ Principle on Petrov Type III Background Space-times

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/748 ◽

1997 ◽

Vol 16 (1) ◽

pp. 37-58

Author(s):

W.G. Anderson ◽

R.G. McLenaghan ◽

Tom Walton

Keyword(s):

Wave Equations ◽

Petrov Type ◽

Type Iii ◽

Background Space ◽

Huygens Principle ◽

Explicit Determination

Download Full-text

The validity of Huygens' principle for the conformally invariant scalar wave equation, Maxwell's equations and Weyl's neutrino equation on Petrov type D and type III space-times

Physics Letters A ◽

10.1016/0375-9601(86)90317-8 ◽

1986 ◽

Vol 118 (7) ◽

pp. 322-324 ◽

Cited By ~ 1

Author(s):

J. Carminati ◽

R.G. McLenaghan

Keyword(s):

Wave Equation ◽

Petrov Type ◽

Scalar Wave ◽

Scalar Wave Equation ◽

Type Iii ◽

Conformally Invariant ◽

Type D ◽

Invariant Scalar ◽

Huygens Principle ◽

Petrov Type D

Download Full-text

Non-Walker Self-Dual Neutral Einstein Four-Manifolds of Petrov Type III

Journal of Geometric Analysis ◽

10.1007/s12220-008-9066-3 ◽

2009 ◽

Vol 19 (2) ◽

pp. 301-357 ◽

Cited By ~ 10

Author(s):

Andrzej Derdzinski

Keyword(s):

Petrov Type ◽

Type Iii ◽

Four Manifolds

Download Full-text