THE GRAVITATIONAL ELECTROMAGNETIC NOETHER OPERATOR AND THE 2ND-ORDER ENERGY FLUX

被引：14

作者：

SORKIN, RD ^{[1
]}

机构：

[1] SYRACUSE UNIV,DEPT PHYS,SYRACUSE,NY 13244

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1991年 / 435卷 / 1895期

关键词：

D O I：

10.1098/rspa.1991.0166

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The Noether operator for gravity is recalled and that for the electromagnetic field derived, its difference from the electromagnetic stress tensor being pointed out. It is then shown how the Noether operator's defining equation leads, in the case of perturbations about a stationary solution, to a conserved energy current depending quadratically on the first-order perturbations alone. The formal background of the paper by Chandrasekhar & Ferrari is thereby clarified.

引用

页码：635 / 644

页数：10

共 11 条

[1] A CONSERVED CURRENT FOR PERTURBATIONS OF EINSTEIN-MAXWELL SPACE-TIMES [J].

BURNETT, GA ;

WALD, RM .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 430 (1878) :57-67

[2] THE EINSTEIN PSEUDO-TENSOR AND THE FLUX INTEGRAL FOR PERTURBED STATIC SPACE-TIMES [J].

CHANDRASEKHAR, S ;

FERRARI, V .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 435 (1895) :645-657

[3] CALCULATION OF RADIATED GRAVITATIONAL ENERGY USING THE 2ND-ORDER EINSTEIN TENSOR [J].

HABISOHN, CX .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (11) :2759-2769

[4] LOCAL SYMMETRIES AND CONSTRAINTS [J].

LEE, J ;

WALD, RM .

JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (03) :725-743

[5] DERIVATION OF A BOGOMOLNY INEQUALITY IN 5-DIMENSIONAL KALUZA-KLEIN THEORY [J].

LEE, JH ;

SORKIN, RD .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 116 (03) :353-364

[6] CONSERVED QUANTITIES FROM PSEUDOTENSORS AND EXTREMUM THEOREMS FOR ANGULAR-MOMENTUM [J].

NAHMADACHAR, E ;

SCHUTZ, BF .

CLASSICAL AND QUANTUM GRAVITY, 1987, 4 (04) :929-942

[7] PSEUDOTENSORS IN ASYMPTOTICALLY CURVILINEAR COORDINATES [J].

NAHMADACHAR, E ;

SCHUTZ, BF .

GENERAL RELATIVITY AND GRAVITATION, 1987, 19 (07) :655-663

[8] A NEW DERIVATION OF THE QUADRUPOLE FORMULA FOR ANGULAR-MOMENTUM [J].

NAHMADACHAR, E .

JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (05) :1009-1012

[9] VARIATIONAL ASPECTS OF RELATIVISTIC FIELD-THEORIES, WITH APPLICATION TO PERFECT FLUIDS [J].

SCHUTZ, BF ;

SORKIN, R .

ANNALS OF PHYSICS, 1977, 107 (1-2) :1-43

[10] STRESS-ENERGY TENSORS [J].

SORKIN, R .

GENERAL RELATIVITY AND GRAVITATION, 1977, 8 (06) :437-449

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