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Traversable Wormholes and Classical Scalar Fields

Luke M. Butcher
(
- Edinburgh U., Inst. Astron.
)

Mar 13, 2015

7 pages

Published in:

Phys.Rev.D 91 (2015) 12, 124031

Published: Jun 10, 2015

e-Print:

1503.04145 [gr-qc]

DOI:

10.1103/PhysRevD.91.124031

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Abstract: (APS)

I prove that general relativity admits no asymptotically well-behaved static spherically symmetric traversable wormholes supported by classical scalar fields and nonexotic matter. The theorem holds for all values of the scalar field curvature coupling parameter ξ, even though fields with ξ>0 are capable of violating the average null energy condition. Good asymptotic behavior (the effective Newton’s constant being positive and finite at both ends of the wormhole) can only be achieved by introducing additional exotic matter, which must itself violate the null energy condition over some region of nonzero volume. These results are insensitive to the number of scalar fields, the form of their potentials, and the coupling between the fields and the additional matter.

Note:

6 pages; published version

04.20.-q
03.50.-z
04.20.Gz
field theory: scalar
wormhole: traversable
null-energy condition: violation
matter: exotic
curvature: coupling
gravitation: fundamental constant
symmetry: rotation

References(29)

Figures(0)

[1]

Wormholes, Time Machines, and the Weak Energy Condition

- Phys.Rev.Lett. 61 (1988) 1446-1449
•
DOI:
- 10.1103/PhysRevLett.61.1446

[2]

Wormholes in space-time and their use for interstellar travel: A tool for teaching general relativity

M.S. Morris
(
- Caltech
)
,
K.S. Thorne
(
- Caltech
)

- Am.J.Phys. 56 (1988) 395-412
•
DOI:
- 10.1119/1.15620

[3]

Topological censorship

John L. Friedman
(
- Santa Barbara, KITP and
- Wisconsin U., Milwaukee
)
,
Kristin Schleich
(
- British Columbia U.
)
,
Donald M. Witt
(
- British Columbia U.
)

- Phys.Rev.Lett. 71 (1993) 1486-1489,
- Phys.Rev.Lett. 75 (1995) 1872 (erratum)
•
e-Print:
- gr-qc/9305017
•
DOI:
- 10.1103/PhysRevLett.71.1486

[4]

Dynamic wormholes, anti-trapped surfaces, and energy conditions

David Hochberg
(
- Madrid, LAEFF
)
,
Matt Visser
(
- Washington U., St. Louis
)

- Phys.Rev.D 58 (1998) 044021
•
e-Print:
- gr-qc/9802046
•
DOI:
- 10.1103/PhysRevD.58.044021

[5]

On the attraction between two perfectly conducting plates

H.B.G. Casimir
(
- Philips Research Labs, Eindhoven
)

- Indag.Math. 10 (1948) 4, 261-263,
- Kon.Ned.Akad.Wetensch.Proc. 51 (1948) 7, 793-795,
- Front.Phys. 65 (1987) 342-344,
- Kon.Ned.Akad.Wetensch.Proc. 100N3-4 (1997) 3-4, 61-63

[6]

Quantum Fields in Curved Space

•
DOI:
- 10.1017/CBO9780511622632

[7]

Stress - energy tensor of quantized scalar fields in static spherically symmetric space-times

Paul R. Anderson
(
- Wake Forest U.
)
,
William A. Hiscock
(
- Montana State U.
)
,
David A. Samuel
(
- Montana State U.
)

- Phys.Rev.D 51 (1995) 4337-4358
•
DOI:
- 10.1103/PhysRevD.51.4337

[8]

Casimir effect in a wormhole spacetime

- Class.Quant.Grav. 23 (2006) 627-634
•
e-Print:
- hep-th/0510232
•
DOI:
- 10.1088/0264-9381/23/3/006

[9]

Casimir Energy of a Long Wormhole Throat

Luke M. Butcher
(
- Cambridge U. and
- Cambridge U., KICC
)

- Phys.Rev.D 90 (2014) 2, 024019
•
e-Print:
- 1405.1283
•
DOI:
- 10.1103/PhysRevD.90.024019

[10]

Twilight for the energy conditions?

- Int.J.Mod.Phys.D 11 (2002) 1553-1560
•
e-Print:
- gr-qc/0205066
•
DOI:
- 10.1142/S0218271802002888

[11]

Exact solutions of Einstein conformal scalar equations

J.D. Bekenstein
(
- Texas U.
)

- Annals Phys. 82 (1974) 535-547
•
DOI:
- 10.1016/0003-4916(74)90124-9

[12]

Nonsingular General Relativistic Cosmologies

J.D. Bekenstein
(
- Texas U. and
- Ben Gurion U. of Negev
)

- Phys.Rev.D 11 (1975) 2072-2075
•
DOI:
- 10.1103/PhysRevD.11.2072

[13]

Improvement Versus Stability in Gravity Scalar Coupling

Stanley Deser
(
- Brandeis U.
)

- Phys.Lett.B 134 (1984) 419-421
•
DOI:
- 10.1016/0370-2693(84)91375-3

[14]

Does back reaction enforce the averaged null energy condition in semiclassical gravity?

Eanna E. Flanagan
(
- Chicago U., EFI
)
,
Robert M. Wald
(
- Chicago U., EFI
)

- Phys.Rev.D 54 (1996) 6233-6283
•
e-Print:
- gr-qc/9602052
•
DOI:
- 10.1103/PhysRevD.54.6233

[15]

Averaged energy conditions and quantum inequalities

L.H. Ford
(
- Tufts U.
)
,
Thomas A. Roman
(
- Tufts U.
)

- Phys.Rev.D 51 (1995) 4277-4286
•
e-Print:
- gr-qc/9410043
•
DOI:
- 10.1103/PhysRevD.51.4277

[16]

Quantum Energy Inequalities for the Non-Minimally Coupled Scalar Field

- J.Phys.A 41 (2008) 025402
•
e-Print:
- 0708.2450
•
DOI:
- 10.1088/1751-8113/41/2/025402

[17]

Annales Henri Poincar 9, 425

C.J. Fewster
,
C.J. Smith

[18]

General relativity

R.M. Wald

[19]

Dynamical Symmetry Breaking Due to Radiative Corrections in Cosmology

L.H. Ford
(
- Tufts U.
)
,
D.J. Toms
(
- Imperial Coll., London
)

- Phys.Rev.D 25 (1982) 1510
•
DOI:
- 10.1103/PhysRevD.25.1510

[20]

A New improved energy - momentum tensor

Curtis G. Callan, Jr.
(
- Princeton, Inst. Advanced Study
)
,
Sidney R. Coleman
(
- Harvard U.
)
,
Roman Jackiw
(
- MIT, LNS
)

- Annals Phys. 59 (1970) 42-73
•
DOI:
- 10.1016/0003-4916(70)90394-5

[21]

Averaged energy inequalities for the non-minimally coupled classical scalar field

- Phys.Rev.D 74 (2006) 044021
•
e-Print:
- gr-qc/0606009
•
DOI:
- 10.1103/PhysRevD.74.044021

[22]

Traversable wormholes from massless conformally coupled scalar fields

- Phys.Lett.B 466 (1999) 127-134
•
e-Print:
- gr-qc/9908029
•
DOI:
- 10.1016/S0370-2693(99)01117-X

[23]

Scalar fields, energy conditions, and traversable wormholes

- Class.Quant.Grav. 17 (2000) 3843-3864
•
e-Print:
- gr-qc/0003025
•
DOI:
- 10.1088/0264-9381/17/18/318

[24]

Instability of wormholes with a nonminimally coupled scalar field

- Grav.Cosmol. 7 (2001) 297-300
•
e-Print:
- gr-qc/0201083

[25]

No realistic wormholes from ghost-free scalar-tensor phantom dark energy

- JETP Lett. 85 (2007) 1-5,
- Pisma Zh.Eksp.Teor.Fiz. 85 (2007) 3-8
•
e-Print:
- gr-qc/0612032
•
DOI:
- 10.1134/S0021364007010018

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