Constructing maximal extensions of the Vaidya metric in Israel coordinates. II. The completeness of Israel coordinates - INSPIRE

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Constructing maximal extensions of the Vaidya metric in Israel coordinates. II. The completeness of Israel coordinates

Dec 10, 2023

17 pages

Published in:

Phys.Rev.D 109 (2024) 2, 024063

Published: Jan 15, 2024

e-Print:

2312.05950 [gr-qc]

DOI:

10.1103/PhysRevD.109.024063 (publication)

View in:

ADS Abstract Service

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Abstract: (APS)

We present the results of an analysis of three maximal extensions of the Vaidya metric in Israel coordinates, a spherically symmetric solution to the Einstein field equations for the energy momentum tensor of pure radiation in the high-frequency approximation. This metric is necessary for various applications, such as describing the exterior geometry of a radiating star in astrophysics and studying possible formation of naked singularities in the geometry of spacetime. Contrary to the common Eddington-Finkelstein-Like coordinates, these maximal extensions, in Israel coordinates, are complete and cover the entirety of the Vaidya manifold. We develop three mass functions, one for each extension, and consider the qualitative characteristics of the three mass models and the surfaces of constant (dynamical) radius. We demonstrate that each maximal extension is null geodesically complete, which we assess by solving the radial null geodesics equation and forming the Penrose conformal diagram for each extension.

Note:

17 pages, 57 figures

References(40)

Figures(57)

[1]

The External Field of a Radiating Star in Relativity

P.C. Vaidya
(
- Gujarat U.
)

- Gen.Rel.Grav. 31 (1999) 119-120
•
DOI:
- 10.1023/A:1018871522880

[2]

The gravitational field of a radiating star

P.C. Vaidya

- Proc.Indian Acad.Sci.A 33 (1951) 5, 264
•
DOI:
- 10.1007/BF03173260

[3]

Newtonian Time in General Relativity

P.C. Vaidya
(
- Gujarat U.
)

- Nature 171 (1953) 260-261
•
DOI:
- 10.1038/171260a0

[4]

On the gravitational field of a mass point according to Einstein's theory

Karl Schwarzschild

- Sitzungsber.Preuss.Akad.Wiss.Berlin (Math.Phys.) 1916 (1916) 189-196
•
e-Print:
- physics/9905030

[5]

Gravitational collapse of a radiating shell of matter

Rick Pim
(
- Queen's U., Kingston
)
,
Kayll Lake
(
- Queen's U., Kingston
)

- Phys.Rev.D 31 (1985) 233-240
•
DOI:
- 10.1103/PhysRevD.31.233

[6]

M. Castagnino
,
N. Umerez

- Gen.Rel.Grav. 15 (1983) 625
•
DOI:
- 10.1007/BF00759039

[7]

M. Cosenza
,
L. Herrera
,
M. Esculpi
,
L. Witten

- Phys.Rev.D 25 (1982) 2527
•
DOI:
- 10.1103/PhysRevD.25.2527

[8]

Evolution of radiating fluid spheres in general relativity

- Phys.Rev.D 22 (1980) 2305-2316
•
DOI:
- 10.1103/PhysRevD.22.2305

[9]

Radiating fluid spheres in general relativity

Selchuk S. Bayin
(
- Michigan U.
)

- Phys.Rev.D 19 (1979) 2838-2846
•
DOI:
- 10.1103/PhysRevD.19.2838

[10]

V.H. Hamity
,
R.J. Gleiser

- Astrophys.Space Sci. 58 (1978) 353
•
DOI:
- 10.1007/BF00644522

[11]

Collapse of Radiating Fluid Spheres

K. Lake
(
- Queen's U., Kingston
)
,
Charles Hellaby
(
- Queen's U., Kingston
)

- Phys.Rev.D 24 (1981) 3019-3022
•
DOI:
- 10.1103/PhysRevD.24.3019

[12]

R.C. Adams
,
B.B. Cary
,
J.M. Cohen

- Astrophys.Space Sci. 213 (1994) 205
•
DOI:
- 10.1007/BF00658211

[13]

A.K.G. de Oliveira
,
C.A. Kolassis
,
N.O. Santos

- Mon.Not.Roy.Astron.Soc. 231 (1988) 1011
•
DOI:
- 10.1093/mnras/231.4.1011

[14]

Dynamics of dissipative gravitational collapse

L. Herrera
(
- Caracas, U. Central and
- Paris U., VI-VII
)
,
N.O. Santos
(
- Petropolis, LNCC and
- Rio de Janeiro, CBPF and
- Paris U., VI-VII
)

- Phys.Rev.D 70 (2004) 084004
•
e-Print:
- gr-qc/0410014
•
DOI:
- 10.1103/PhysRevD.70.084004

[15]

Some analytical models of radiating collapsing spheres

- Phys.Rev.D 74 (2006) 044001
•
e-Print:
- gr-qc/0609009
•
DOI:
- 10.1103/PhysRevD.74.044001

[16]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

[17]

HAWKING EVAPORATION AND SPACE-TIME STRUCTURE

- Nuovo Cim.B 70 (1982) 201-211,
- Nuovo Cim. 70B ( 1982) 201-211
•
DOI:
- 10.1007/BF02721074

[18]

VAIDYA SPACE-TIME AS AN EVAPORATING BLACK HOLE

Yuhji Kuroda
(
- Hiroshima U., RITP
)

- Prog.Theor.Phys. 71 (1984) 1422
•
DOI:
- 10.1143/PTP.71.1422

[19]

Hawking effect in Vaidya-de Sitter space-time

- Gen.Rel.Grav. 26 (1994) 1055-1065
•
DOI:
- 10.1007/BF02108932

[20]

M. Beciu

- Phys.Lett. 100A (1984) 77
•
DOI:
- 10.1016/0375-9601(84)90665-0

[21]

Models of Evaporating Black Holes. {II}. Effects of the Outgoing Created Radiation

W.A. Hiscock
(
- Yale U.
)

- Phys.Rev.D 23 (1981) 2823-2827,
- Phys. Rev. D23 ( 1981) 2823-2827
•
DOI:
- 10.1103/PhysRevD.23.2823

[22]

S.W. Kim
,
E.Y. Choi
,
S.K. Kim
,
J. Yang

- Phys.Lett. 141A (1989) 238
•
DOI:
- 10.1016/0375-9601(89)90477-5

[23]

Models of Evaporating Black Holes

William A. Hiscock
(
- Yale U. and
- Santa Barbara, KITP
)

- Phys.Rev.D 23 (1981) 2813
•
DOI:
- 10.1103/PhysRevD.23.2813

[24]

W. Biernacki

- Phys.Rev.D 41 (1990) 1356
•
DOI:
- 10.1103/PhysRevD.41.1356

[25]

Quantum metric fluctuations and Hawking radiation

R. Parentani
(
- Tours U.
)

- Phys.Rev.D 63 (2001) 041503
•
e-Print:
- gr-qc/0009011
•
DOI:
- 10.1103/PhysRevD.63.041503

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