A note on Killing vectors in algebraically special vacuum space-times

1980 ◽  
Vol 12 (7) ◽  
pp. 575-580 ◽  
Author(s):  
Roberto Catenacci ◽  
Annalisa Marzuoli ◽  
Franco Salmistraro
Keyword(s):  
Killing Vectors ◽  
Special Vacuum ◽  
Vacuum Space

Killing vectors of vacuum space times and electromagnetic four potentials

1989 ◽  
Vol 39 (9) ◽  
pp. 957-961 ◽  
Author(s):  
J. Horský ◽  
N. V. Mitskievitch
Keyword(s):  
Killing Vectors ◽  
Vacuum Space

scholarly journals MASSLESS SPINNING TEST PARTICLES IN ALGEBRAICALLY SPECIAL VACUUM SPACE–TIMES

2006 ◽  
Vol 15 (05) ◽  
pp. 737-758 ◽  
Author(s):  
DONATO BINI ◽  
CHRISTIAN CHERUBINI ◽  
ANDREA GERALICO ◽  
ROBERT T. JANTZEN
Keyword(s):  
World Line ◽  
Equations Of Motion ◽  
Space Time ◽  
Null Direction ◽  
Massless Particles ◽  
Special Vacuum ◽  
Test Particles ◽  
Vacuum Space

The motion of massless spinning test particles is investigated using the Newman–Penrose formalism within the Mathisson–Papapetrou model extended to massless particles by Mashhoon and supplemented by the Pirani condition. When the "multipole reduction world line" lies along a principal null direction of an algebraically special vacuum space–time, the equations of motion can be explicitly integrated. Examples are given for some familiar space–times of this type in the interest of shedding some light on the consequences of this model.

Hertz─Bromwich─Debye─Whittaker─Penrose potentials in general relativity

1979 ◽  
Vol 367 (1731) ◽  
pp. 527-538 ◽  
Keyword(s):  
General Relativity ◽  
Scalar Potential ◽  
Space Time ◽  
Physical Interest ◽  
Gravitational Perturbations ◽  
Special Vacuum ◽  
Background Space ◽  
Explicit Formulae ◽  
Scalar Potentials ◽  
Vacuum Space

The problem of deriving scalar potentials governing electromagnetic and gravitational perturbations of vacuum space-times is discussed. For the case of an algebraically special vacuum background space-time, explicit formulae for all quantities of physical interest are given in terms of derivaties of the scalar potential.

Properties of shear-free congruences of null geodesics

1976 ◽  
Vol 349 (1658) ◽  
pp. 309-318 ◽  
Keyword(s):  
Integrability Condition ◽  
Field Equations ◽  
Null Geodesics ◽  
Conformal Curvature ◽  
Special Vacuum ◽  
Linearized Theory ◽  
Vacuum Space

Associated with any shear-free congruence of null geodesics are two real bivectors. One of these describes the relation of the congruence to the conformal curvature, but the significance of the second bivector is less clear. The integrability condition is given for a certain class of spinor equations which arise in the presence of a shear-free congruence of null geodesics. This integrability condition leads to a basis-free proof of the Goldberg-Sachs theorem and related results. Comparing the field equations for algebraically special vacuum space-times with those for the corresponding field types in linearized theory, it is seen that the functional freedom in the fields is the same.

ON A PERFECT FLUID K¨ AHLER SPACETIME

2016 ◽  
Vol 12 (3) ◽  
pp. 4350-4355
Author(s):  
VIBHA SRIVASTAVA ◽  
P. N. PANDEY
Keyword(s):  
Field Equation ◽  
Perfect Fluid ◽  
Sectional Curvature ◽  
Einstein Field Equation ◽  
Cosmological Term ◽  
Conformal Killing ◽  
Killing Vectors ◽  
Projectively Flat ◽  
Conformal Killing Vectors

The object of the present paper is to study a perfect fluid K¨ahlerspacetime. A perfect fluid K¨ahler spacetime satisfying the Einstein field equation with a cosmological term has been studied and the existence of killingand conformal killing vectors have been discussed. Certain results related to sectional curvature for pseudo projectively flat perfect fluid K¨ahler spacetime have been obtained. Dust model for perfect fluid K¨ahler spacetime has also been studied.

Killing vectors in gauge supersymmetry

1978 ◽  
Vol 19 (10) ◽  
pp. 2203 ◽  
Author(s):  
L. Kannenberg
Keyword(s):  
Killing Vectors

scholarly journals Hamiltonian charges in the asymptotically de Sitter spacetimes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Maciej Kolanowski ◽  
Jerzy Lewandowski
Keyword(s):  
Phase Space ◽  
Initial Data ◽  
Exact Solutions ◽  
Gravitational Waves ◽  
Physical Meaning ◽  
De Sitter ◽  
Killing Vectors ◽  
Asymptotically Flat ◽  
Angular Momenta ◽  
The One

Abstract We generalize a notion of ‘conserved’ charges given by Wald and Zoupas to the asymptotically de Sitter spacetimes. Surprisingly, our construction is less ambiguous than the one encountered in the asymptotically flat context. An expansion around exact solutions possessing Killing vectors provides their physical meaning. In particular, we discuss a question of how to define energy and angular momenta of gravitational waves propagating on Kottler and Carter backgrounds. We show that obtained expressions have a correct limit as Λ → 0. We also comment on the relation between this approach and the one based on the canonical phase space of initial data at ℐ+.

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