2 edition of **class of algebraically general non-null Einstein-Maxwell fields.** found in the catalog.

class of algebraically general non-null Einstein-Maxwell fields.

Alan Barnes

- 86 Want to read
- 1 Currently reading

Published
**1976**
by TCD School of Mathematics in Dublin
.

Written in English

**Edition Notes**

Series | TCD -- 1976-11 and 15 |

Contributions | Dublin University. School of Mathematics. |

The Physical Object | |
---|---|

Pagination | 2 p.ts |

ID Numbers | |

Open Library | OL19589229M |

There are two Lorentz scalars associated to the electric E and magnetic B fields, that can be conveniently defined as and [], where and are also scalars. If, the field is called null or algebraically special, and it is usually ascribed to a radiation field; the text-book example is the standard plane one or both of these scalars are different from zero, the field is said to be non Author: S Hacyan. String Theory Extensions of Einstein-Maxwell Fields Article in International Journal of Modern Physics A 17(18) July with 12 Reads How we measure 'reads'.

The known symmetry of the non-null electromagnetic field, which acts as the source of a four-dimensional space-time satisfying the Einstein-Maxwell equations, is used to show that when such a Author: Zafar Ahsan. A paperback edition of a classic text, this book gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It introduces the foundations of differential geometry and Riemannian geometry and the methods used to characterize, find or construct solutions/5(9).

On twisting pure radiation and Einstein-Maxwell fields Article in Advanced Studies in Theoretical Physics 5(5) January with 3 Reads How we measure 'reads'. F ∇ F_\nabla is the field strength/curvature differential 2-form of ∇ \nabla; ⋆ e \star_e is the Hodge star operator induced by e e. This is the special case of Einstein-Yang-Mills theory for the gauge group being the circle group. Related concepts. D=5 Einstein-Maxwell theory. charged black hole. Einstein-Hilbert action. Einstein-Maxwell.

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In a previous article the Einstein-Maxwell field equations for non-null electromagnetic fields were studied under the conditions that the null tetrad is parallel-propagated along both principal null congruences. A solution with twist and shear, but no expansion, was found and was conjectured to be the only expansion-free by: 9.

adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A. The Einstein-Maxwell field equations for non-null electromagnetic fields are studied under the conditions that the null tetrad is parallelly propagated along both principal null congruences.

It is shown that the resulting spacetime solutions are necessarily algebraically general. The Einstein-Maxwell field equations for non-null electromagnetic fields are studied under the conditions that the null tetrad is parallelly propagated along both principal null congruences.

It is shown that the resulting spacetime solutions are necessarily algebraically by: 9. The Geroch-Held-Penrose formalism is used to re-analyse algebraically special non-null Einstein-Maxwell fields, aligned as well as non-aligned, in the presence of a possible non-vanishing cosmological by: 2.

In this paper, a class of algebraically special null Einstein-Maxwell fields contain- ing a shear-free geodetic and hypersurface orthogor.al congruence with vanishing curl has been obtained, using the spirt coefficient formalism of NP.

A class of algebraically special non-null electrovac solutions is presented, in which the repeated principal null congruence is shear free, twist free, and geodesic, and is not aligned with a principal null direction of the electromagnetic field. This class includes all previously known solutions of this type as special by: 3.

The Geroch-Held-Penrose formalism is used to re-analyse algebraically special non-null Einstein-Maxwell fields, aligned as well as non-aligned, in the presence of a possible non-vanishing cosmological constant. The Geroch–Held–Penrose formalism is used to re-analyse algebraically special non-null Einstein–Maxwell fields, aligned as well as non-al A new invariant characterization is given of the García–Plebański and Plebański–Hacyan metrics within the family of aligned solutions and of the Griffiths metrics within the family of the non-aligned by: 2.

A class of algebraically general solutions of the Einstein-Maxwell equations for non-null electromagnetic fields N. Tariq, B. Tupper Pages Research Articles. The Geroch-Held-Penrose formalism is used to re-analyse algebraically special non-null Einstein-Maxwell fields, aligned as well as non-aligned, in the presence of a possible non-vanishing cosmological constant.

A new invariant characterization is given of the García-Plebański and Plebański-Hacyan metrics within the family of aligned solutions and of the Griffiths metrics within the family.

tensor is algebraically special, but the reverse no longer holds. A key property in this respect is the Kundt-Trümper theorem26, which says that for an algebraically special aligned non-null Einstein-Maxwell space-time (with a possible non-0 cosmological constant and with kthe PND of F coinciding with a multiple Weyl-PND) one necessarily has.

We present a class of pairs of non-trivially conformally related solutions of Einstein-Maxwell equations that are not pp-waves. To our knowledge, this is the first such case and thus an extension. A class of algebraically general non-null Einstein-Maxwell fields I1 Alan Barnes School of Mathematics, Trinity College, Dublin 2, Eire and School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4.

Eire Received 15 Novemberin final form 20 January by: 1. Homogeneous vacuum and null Einstein-Maxwell space-times Homogeneous non-null electromagnetic ﬁelds Homogeneous perfect ﬂuid solutions Other homogeneous solutions Algebraically general vacuum solutions with geodesicFile Size: KB.

There are two types of solutions of the Einstein-Maxwell equations in general rela- tivity, namely algebraically general solution and algebraically special solution.

must be algebraically general (Sachs ) the problem of obtaining algebraically Einstein-Maxwell equations in general relativity With p given by (30), (36) is a. Abstract. The Geroch-Held-Penrose formalism is used to re-analyse algebraically special non-null Einstein-Maxwell fields, aligned as well as non-aligned, in the presence of a possible non-vanishing cosmological by: 2.

Books. Publishing Support. Login. A class of algebraically general non-null Einstein-Maxwell fields. A class of solutions of the Einstein-Maxwell field equations which satisfy the condition that the null tetrad determined by the Maxwell bivector is parallelly transported along m i and m i is investigated.

Twisting vacuum solutions; Twisting Einstein-Maxwell and pure radiation fields; Non-diverging solutions (Kundt's class); Kerr-Schild metrics; Algebraically special perfect fluid solutions; Part IV.

Special Methods: Applications of generation techniques to general relativity; Special vector and tensor fields; Books. Publishing Support. Login. Reset your password. If you have a user account, you will need to reset your password the next time you login.

You will only need to do this once. Find out more. IOPscience login / Sign Up. Please note:Cited by: 4. This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact : Hardcover.New algebraically special solutions of the Einstein-Maxwell equations are constructed.

Among them are the first examples of solutions with twisting rays and a purely radiative Maxwell field.Exact Solutions of Einstein’s Field Equations A revised edition of the now classic text, ExactSolutionsofEinstein’sFieldEquations gives a unique survey of the known solutions of Einstein’s ﬁeld equations for vacuum, Einstein–Maxwell, pure radiation and .