Hamilton-Jacobi separable, axisymmetric, perfect-fluid solutions of Einstein's equations

Communications in Mathematical Physics ◽

10.1007/bf01608636 ◽

1976 ◽

Vol 49 (1) ◽

pp. 53-61 ◽

Cited By ~ 9

Author(s):

Sotirios Bonanos

Keyword(s):

Perfect Fluid ◽

Einstein’S Equations ◽

Einstein's Equations

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A cylindrically symmetric stationary solution of Einstein's equations describing a perfect fluid of finite radius

Classical and Quantum Gravity ◽

10.1088/0264-9381/17/13/303 ◽

2000 ◽

Vol 17 (13) ◽

pp. 2499-2507 ◽

Cited By ~ 6

Author(s):

W Davidson

Keyword(s):

Perfect Fluid ◽

Stationary Solution ◽

Einstein’S Equations ◽

Finite Radius ◽

Einstein's Equations ◽

Cylindrically Symmetric

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Stationary and axisymmetric perfect-fluid solutions to Einstein's equations

Rotating Objects and Relativistic Physics - Lecture Notes in Physics ◽

10.1007/3-540-57364-x_202 ◽

1993 ◽

pp. 73-88 ◽

Cited By ~ 3

Author(s):

José M. M. Senovilla

Keyword(s):

Perfect Fluid ◽

Einstein’S Equations ◽

Einstein's Equations

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Matching in a class of stationary axisymmetric perfect fluid solutions of Einstein's equations

General Relativity and Gravitation ◽

10.1007/bf00761082 ◽

1989 ◽

Vol 21 (2) ◽

pp. 125-136 ◽

Cited By ~ 2

Author(s):

E. Kyriakopoulos

Keyword(s):

Perfect Fluid ◽

Einstein’S Equations ◽

Einstein's Equations

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A cylindrically symmetric stationary solution of Einstein's equations describing a perfect fluid of finite radius

Classical and Quantum Gravity ◽

10.1088/0264-9381/17/16/501 ◽

2000 ◽

Vol 17 (16) ◽

pp. 3375-3375

Author(s):

W Davidson

Keyword(s):

Perfect Fluid ◽

Stationary Solution ◽

Einstein’S Equations ◽

Finite Radius ◽

Einstein's Equations ◽

Cylindrically Symmetric

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Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equations

Computer Physics Communications ◽

10.1016/s0010-4655(98)00130-1 ◽

1998 ◽

Vol 115 (2-3) ◽

pp. 395-415 ◽

Cited By ~ 292

Author(s):

M.S.R. Delgaty ◽

Kayll Lake

Keyword(s):

Perfect Fluid ◽

Spherically Symmetric ◽

Einstein’S Equations ◽

Einstein's Equations

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Solution of Einstein's equations for a line-mass of perfect fluid

Journal of Physics A General Physics ◽

10.1088/0305-4470/12/9/527 ◽

1979 ◽

Vol 12 (9) ◽

pp. 1623-1623

Author(s):

W B Bonner

Keyword(s):

Perfect Fluid ◽

Einstein’S Equations ◽

Einstein's Equations ◽

Line Mass

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Solutions of Einstein’s equations for the interior of a stationary axisymmetric perfect fluid

Journal of Mathematical Physics ◽

10.1063/1.527428 ◽

1987 ◽

Vol 28 (9) ◽

pp. 2162-2166 ◽

Cited By ~ 4

Author(s):

E. Kyriakopoulos

Keyword(s):

Perfect Fluid ◽

Einstein’S Equations ◽

Einstein's Equations

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New exact perfect fluid solutions of Einstein's equations. II

Classical and Quantum Gravity ◽

10.1088/0264-9381/7/12/003 ◽

1990 ◽

Vol 7 (12) ◽

pp. L279-L283 ◽

Cited By ~ 8

Author(s):

C Uggla ◽

K Rosquist

Keyword(s):

Perfect Fluid ◽

Einstein’S Equations ◽

Einstein's Equations

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All static spherically symmetric perfect-fluid solutions of Einstein’s equations

Physical Review D ◽

10.1103/physrevd.67.104015 ◽

2003 ◽

Vol 67 (10) ◽

Cited By ~ 133

Author(s):

Kayll Lake

Keyword(s):

Perfect Fluid ◽

Spherically Symmetric ◽

Einstein’S Equations ◽

Einstein's Equations

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PETROV TYPE I, STATIONARY, AXISYMMETRIC, PERFECT FLUID SOLUTION OF EINSTEIN'S EQUATIONS

Modern Physics Letters A ◽

10.1142/s0217732399000031 ◽

1999 ◽

Vol 14 (01) ◽

pp. 7-14

Author(s):

E. KYRIAKOPOULOS

Keyword(s):

Equation Of State ◽

General Solution ◽

Perfect Fluid ◽

Petrov Type ◽

Type I ◽

Fluid Solution ◽

Einstein’S Equations ◽

Perfect Fluid Solution ◽

Einstein's Equations ◽

Static Limit

We present a four-parameter, algebraically general solution for the interior of a rigidly rotating, axisymmetric perfect fluid, with the equation of state μ = p + const . The solution is analytically simple and has a static limit.

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