A symmetric hyperbolic formulation of the vacuum Einstein equations in affine-null coordinates

Justin L. Ripley

doi:10.1063/5.0055561

A symmetric hyperbolic formulation of the vacuum Einstein equations in affine-null coordinates

Journal of Mathematical Physics ◽

10.1063/5.0055561 ◽

2021 ◽

Vol 62 (6) ◽

pp. 062501

Author(s):

Justin L. Ripley

Keyword(s):

Einstein Equations ◽

Vacuum Einstein Equations

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Numerical methods for solving the planar vacuum Einstein equations

Physical Review D ◽

10.1103/physrevd.43.1808 ◽

1991 ◽

Vol 43 (6) ◽

pp. 1808-1824 ◽

Cited By ~ 11

Author(s):

Peter Anninos ◽

Joan Centrella ◽

Richard A. Matzner

Keyword(s):

Numerical Methods ◽

Einstein Equations ◽

Vacuum Einstein Equations

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New Axisymmetric Stationary Solutions of Five-dimensional Vacuum Einstein Equations with Asymptotic Flatness

10.1063/1.2399644 ◽

2006 ◽

Cited By ~ 1

Author(s):

Takashi Mishima ◽

Hideo Iguchi

Keyword(s):

Stationary Solutions ◽

Einstein Equations ◽

Asymptotic Flatness ◽

Vacuum Einstein Equations

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Higher order perturbations of anti–de Sitter space and time-periodic solutions of vacuum Einstein equations

Physical Review D ◽

10.1103/physrevd.95.124043 ◽

2017 ◽

Vol 95 (12) ◽

Cited By ~ 11

Author(s):

Andrzej Rostworowski

Keyword(s):

Periodic Solutions ◽

De Sitter Space ◽

Higher Order ◽

Einstein Equations ◽

De Sitter ◽

Space And Time ◽

Vacuum Einstein Equations ◽

Time Periodic Solutions ◽

Time Periodic

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Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. II. The evolution equations

Physical Review D ◽

10.1103/physrevd.58.064003 ◽

1998 ◽

Vol 58 (6) ◽

Cited By ~ 39

Author(s):

Jörg Frauendiener

Keyword(s):

Initial Value Problem ◽

Evolution Equations ◽

Einstein Equations ◽

Numerical Treatment ◽

Initial Value ◽

Vacuum Einstein Equations

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Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. I. The conformal field equations

Physical Review D ◽

10.1103/physrevd.58.064002 ◽

1998 ◽

Vol 58 (6) ◽

Cited By ~ 25

Author(s):

Jörg Frauendiener

Keyword(s):

Initial Value Problem ◽

Einstein Equations ◽

Numerical Treatment ◽

Field Equations ◽

Initial Value ◽

Conformal Field ◽

Vacuum Einstein Equations

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Solution of the vacuum Einstein equations with non-zero cosmological constant for a stationary cylindrically symmetric spacetime

Classical and Quantum Gravity ◽

10.1088/0264-9381/14/11/017 ◽

1997 ◽

Vol 14 (11) ◽

pp. 3177-3178 ◽

Cited By ~ 5

Author(s):

N O Santos

Keyword(s):

Cosmological Constant ◽

Einstein Equations ◽

Cylindrically Symmetric ◽

Vacuum Einstein Equations ◽

Cylindrically Symmetric Spacetime ◽

Symmetric Spacetime

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Diverging and twisting type N solutions of vacuum Einstein equations: an approximative approach

Classical and Quantum Gravity ◽

10.1088/0264-9381/23/3/014 ◽

2006 ◽

Vol 23 (3) ◽

pp. 761-775 ◽

Cited By ~ 2

Author(s):

Maciej Przanowski ◽

Miguel Ángel Rodríguez Segura

Keyword(s):

Einstein Equations ◽

Vacuum Einstein Equations ◽

Approximative Approach

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Five-parameter class of solutions to the vacuum Einstein equations

Physical Review D ◽

10.1103/physrevd.91.124005 ◽

2015 ◽

Vol 91 (12) ◽

Cited By ~ 2

Author(s):

Yu Chen ◽

Edward Teo

Keyword(s):

Einstein Equations ◽

Vacuum Einstein Equations

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The universality of vacuum Einstein equations with cosmological constant

Classical and Quantum Gravity ◽

10.1088/0264-9381/11/6/015 ◽

1994 ◽

Vol 11 (6) ◽

pp. 1505-1517 ◽

Cited By ~ 115

Author(s):

Marco Ferraris ◽

Mauro Francaviglia ◽

Igor Volovich

Keyword(s):

Cosmological Constant ◽

Einstein Equations ◽

Vacuum Einstein Equations

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On the Bartnik extension problem for the static vacuum Einstein equations

Classical and Quantum Gravity ◽

10.1088/0264-9381/30/12/125005 ◽

2013 ◽

Vol 30 (12) ◽

pp. 125005 ◽

Cited By ~ 7

Author(s):

Michael T Anderson ◽

Marcus A Khuri

Keyword(s):

Einstein Equations ◽

Extension Problem ◽

Static Vacuum ◽

Vacuum Einstein Equations

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