Normal modes and separable scalar-field equation in spherically symmetric space-time

被引：0

作者：

Zecca, A

机构：

[1] Univ Milan, Dipartimento Fis, I-20133 Milan, Italy

[2] Ist Nazl Fis Nucl, I-20133 Milan, Italy

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS | 2004年 / 119卷 / 04期

关键词：

D O I：

10.1393/ncb/i2004-10103-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A class of spherically symmetric space-time metrics for which the scalar-field equation can be separated is systematically studied. Existence of normal modes is discussed by comparing the scalar product between radial solutions and induced by the field current, with that relative to the Weyl-Stone eigenva,lue problem into which the separated radial equations can be put. It is found that the two scalar products are in general different. Conditions for their equivalence are determined. They contain particular results previously studied.

引用

页码：411 / 417

页数：7

共 50 条

[1] SPACE-TIME STRUCTURE OF A STATIC SPHERICALLY SYMMETRIC SCALAR FIELD
BERGMANN, O
LEIPNIK, R
PHYSICAL REVIEW, 1957, 107 (04): : 1157 - 1161
[2] SPACE-TIME STRUCTURE OF A STATIC SPHERICALLY SYMMETRIC SCALAR FIELD
TREDER, H
PHYSICAL REVIEW, 1958, 112 (06): : 2127 - 2127
[3] The scalar wave equation in a non-commutative spherically symmetric space-time
Di Grezia, Elisabetta
Esposito, Giampiero
Miele, Gennaro
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2008, 5 (01) : 33 - 47
[4] Scalar field equation in Schwarzschild space-time
Zecca, A
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2000, 115 (06): : 625 - 634
[5] STATIC SPHERICALLY-SYMMETRIC SCALAR-FIELD THEORY IN GENERAL-RELATIVITY
DIONYSIOU, DD
ASTROPHYSICS AND SPACE SCIENCE, 1982, 88 (02) : 493 - 499
[6] Generalized scalar tensor theory in four and higher dimensional spherically symmetric space-time
Subenoy Chakraborty
Arabinda Ghosh
Pramana, 2001, 56 : 597 - 604
[7] Generalized scalar tensor theory in four and higher dimensional spherically symmetric space-time
Chakraborty, S
Ghosh, A
PRAMANA-JOURNAL OF PHYSICS, 2001, 56 (05): : 597 - 604
[8] Spherically symmetric space-time and Ashtekar variables
Chakraborty, S
Chakraborty, N
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2000, 115 (01): : 63 - 71
[9] Spinor fields in spherically symmetric space-time
Saha, Bijan
EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (11):
[10] Spinor fields in spherically symmetric space-time
Bijan Saha
The European Physical Journal Plus, 133

← 1 2 3 4 5 →