Transverse frames for Petrov type I spacetimes: a general algebraic procedure

Virginia Re; Marco Bruni; David R. Matravers; Frances T. White

doi:10.1023/A:1024574316278

Transverse frames for Petrov type I spacetimes: a general algebraic procedure

Virginia Re^*, Marco Bruni, David R. Matravers, Frances T. White

^*Corresponding author for this work

Gruppo Coll. di Salerno

Research output: Contribution to journal › Article › peer-review

Abstract

We develop an algebraic procedure to rotate a general Newman-Penrose tetradin a Petrov type I spacetime into a frame with Weyl scalars Ψ ₁1 and Ψ₃ equal to zero, assuming that initially all the Weyl scalars are non vanishing. The new frame highlights the physical properties of the spacetime. In particular, in a Petrov type I spacetime, setting Ψ₁ and Ψ₃ to zero makes apparent the superposition of a Coulomb-type effect Ψ₂ with transverse degrees of freedom Ψ₀ and Ψ₄.

Original language	English
Pages (from-to)	1351-1363
Number of pages	13
Journal	General Relativity and Gravitation
Volume	35
Issue number	8
DOIs	https://doi.org/10.1023/A:1024574316278
Publication status	Published - 1 Aug 2003

Keywords

Newman-Penrose formalism
Petrov types
Weyl scalars
UKRI
EPSRC

Access to Document

10.1023/A:1024574316278

Cite this

@article{c099035c37a24695bb27ce180ad19b8e,

title = "Transverse frames for Petrov type I spacetimes: a general algebraic procedure",

abstract = "We develop an algebraic procedure to rotate a general Newman-Penrose tetradin a Petrov type I spacetime into a frame with Weyl scalars Ψ 11 and Ψ3 equal to zero, assuming that initially all the Weyl scalars are non vanishing. The new frame highlights the physical properties of the spacetime. In particular, in a Petrov type I spacetime, setting Ψ1 and Ψ3 to zero makes apparent the superposition of a Coulomb-type effect Ψ2 with transverse degrees of freedom Ψ0 and Ψ4.",

keywords = "Newman-Penrose formalism, Petrov types, Weyl scalars, UKRI, EPSRC",

author = "Virginia Re and Marco Bruni and Matravers, \{David R.\} and White, \{Frances T.\}",

year = "2003",

month = aug,

day = "1",

doi = "10.1023/A:1024574316278",

language = "English",

volume = "35",

pages = "1351--1363",

journal = "General Relativity and Gravitation",

issn = "0001-7701",

publisher = "Springer New York",

number = "8",

}

TY - JOUR

T1 - Transverse frames for Petrov type I spacetimes

T2 - a general algebraic procedure

AU - Re, Virginia

AU - Bruni, Marco

AU - Matravers, David R.

AU - White, Frances T.

PY - 2003/8/1

Y1 - 2003/8/1

N2 - We develop an algebraic procedure to rotate a general Newman-Penrose tetradin a Petrov type I spacetime into a frame with Weyl scalars Ψ 11 and Ψ3 equal to zero, assuming that initially all the Weyl scalars are non vanishing. The new frame highlights the physical properties of the spacetime. In particular, in a Petrov type I spacetime, setting Ψ1 and Ψ3 to zero makes apparent the superposition of a Coulomb-type effect Ψ2 with transverse degrees of freedom Ψ0 and Ψ4.

AB - We develop an algebraic procedure to rotate a general Newman-Penrose tetradin a Petrov type I spacetime into a frame with Weyl scalars Ψ 11 and Ψ3 equal to zero, assuming that initially all the Weyl scalars are non vanishing. The new frame highlights the physical properties of the spacetime. In particular, in a Petrov type I spacetime, setting Ψ1 and Ψ3 to zero makes apparent the superposition of a Coulomb-type effect Ψ2 with transverse degrees of freedom Ψ0 and Ψ4.

KW - Newman-Penrose formalism

KW - Petrov types

KW - Weyl scalars

KW - UKRI

KW - EPSRC

UR - https://www.scopus.com/pages/publications/0347128493

U2 - 10.1023/A:1024574316278

DO - 10.1023/A:1024574316278

M3 - Article

AN - SCOPUS:0347128493

SN - 0001-7701

VL - 35

SP - 1351

EP - 1363

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 8

ER -

Transverse frames for Petrov type I spacetimes: a general algebraic procedure

Abstract

Keywords

Access to Document

Fingerprint

Cite this