Novel Brans-Dicke Wormhole Solutions in Non-Vacuum Spacetimes - INSPIRE

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Novel Brans-Dicke Wormhole Solutions in Non-Vacuum Spacetimes

Amir Hadi Ziaie
(
- RIAAM, Maragha
)
,
Naser Sadeghnezhad
(
- RIAAM, Maragha
)
,
Akbar Jahan
(
- RIAAM, Maragha
)

Feb 17, 2025

25 pages

e-Print:

2502.12043 [gr-qc]

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Abstract: (arXiv)

In the present study we search for a new class of wormhole solutions in the framework of Brans-Dicke (BD) theory in the presence of anisotropic matter distribution. Considering a linear equation of state (EoS) between radial pressure and energy density profile we find exact static spherically symmetric solutions to the BD field equations which represent wormhole configurations. The solutions we obtain include both cases with zero and nonzero redshift functions, for which, the conditions on wormhole geometry together with the weak (WEC) and null (NEC) energy conditions put constraints on model parameters such as, the BD coupling and EoS parameters. These constraints also depend on other model parameters such as, the value of BD scalar field and energy density at the wormhole throat. The regularity of the obtained solutions is verified by calculating the Kretschmann scalar in order to ensure that curvature singularities are absent in the wormhole spacetime. We then find that BD wormholes in the presence of anisotropic matter can exist without violating NEC and WEC, either at the throat or across the entire spacetime.

Note:

25 pages and 8 figures

References(159)

Figures(15)

[1]

Wormholes, Warp Drives and Energy Conditions

Francisco S.N. Lobo
(
- Lisbon U., CAAUL
)
(ed.)

- ,
- Fundam.Theor.Phys. 189 (2017) pp.-279
•
e-Print:
- 2103.05610
•
DOI:
- 10.1007/978-3-319-55182-1

[2]

Lorentzian wormholes: From Einstein to Hawking

Matt Visser
(
- Washington U., St. Louis
)

- Woodbury, USA: AIP (1995) 412 p

[3]

L. Flamm

- Phys.Z. 17 (1916) 448

[3]

Editorial note to: Ludwig Flamm, Republication of: contributions to Einsteins theory of gravitation

G.W. Gibbons

- Gen.Rel.Grav. 47 (2015) 72

[4]

The Particle Problem in the General Theory of Relativity

- Phys.Rev. 48 (1935) 73-77
•
DOI:
- 10.1103/PhysRev.48.73

[4]

Interaction energy in geometrostatics

Dieter R. Brill
(
- Yale U.
)
,
Richard W. Lindquist
(
- Adelphi U.
)

- Phys.Rev. 131 (1963) 471-476
•
DOI:
- 10.1103/PhysRev.131.471

[5]

Classical physics as geometry: Gravitation, electromagnetism, unquantized charge, and mass as properties of curved empty space

Charles W. Misner
(
- Leiden U. and
- Princeton U.
)
,
John A. Wheeler
(
- Leiden U. and
- Princeton U.
)

- Annals Phys. 2 (1957) 525-603
•
DOI:
- 10.1016/0003-4916(57)90049-0

[5]

Wormhole Initial Conditions

Charles W. Misner
(
- Princeton U.
)

- Phys.Rev. 118 (1960) 1110-1111
•
DOI:
- 10.1103/PhysRev.118.1110

[6]

On the Nature of quantum geometrodynamics

John A. Wheeler
(
- Princeton U.
)

- Annals Phys. 2 (1957) 604-614
•
DOI:
- 10.1016/0003-4916(57)90050-7

[6]

‘‘Geometrodynamics,’’

J.A. Wheeler

[7]

Oscillatory Character of Reissner-Nordstrom Metric for an Ideal Charged Wormhole

John C. Graves
(
- Princeton U.
)
,
Dieter R. Brill
(
- Princeton U.
)

- Phys.Rev. 120 (1960) 1507-1513
•
DOI:
- 10.1103/PhysRev.120.1507

[8]

Ether flow through a drainhole - a particle model in general relativity

H.G. Ellis
(
- Colorado U.
)

- J.Math.Phys. 14 (1973) 104-118
•
DOI:
- 10.1063/1.1666161

[8]

THE EVOLVING, FLOWLESS DRAIN HOLE: A NONGRAVITATING PARTICLE MODEL IN GENERAL RELATIVITY THEORY

H.G. Ellis
(
- Colorado U.
)

- Gen.Rel.Grav. 10 (1979) 105-123
•
DOI:
- 10.1007/BF00756794

[9]

Scalar-tensor theory and scalar charge

K.A. Bronnikov

- Acta Phys.Polon.B 4 (1973) 251-266

[10]

From the Flamm–Einstein–Rosen bridge to the modern renaissance of traversable wormholes

Francisco S. N. Lobo
(
- Lisbon U., CAAUL
)

- Int.J.Mod.Phys.D 25 (2016) 07, 1630017
•
e-Print:
- 1604.02082
•
DOI:
- 10.1142/S0218271816300172

[11]

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

[12]

Wormholes, Time Machines, and the Weak Energy Condition

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

[13]

Generic wormhole throats

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

- Annals Israel Phys.Soc. 13 (1997) 249,
•
e-Print:
- gr-qc/9710001

[14]

Geometric structure of the generic static traversable wormhole throat

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

- Phys.Rev.D 56 (1997) 4745-4755
•
e-Print:
- gr-qc/9704082
•
DOI:
- 10.1103/PhysRevD.56.4745

[15]

‘‘Quantum Squeezing,’’

P.D. Drummond
,
Z. Ficek

[16]

Lorentzian wormholes from the gravitationally squeezed vacuum

David Hochberg
(
- Vanderbilt U.
)
,
Thomas W. Kephart
(
- Vanderbilt U.
)

- Phys.Lett.B 268 (1991) 377-383
•
DOI:
- 10.1016/0370-2693(91)91593-K

[17]

Quantum Field Theory in Curved Space-Time

Bryce S. DeWitt
(
- Texas U.
)

- Phys.Rept. 19 (1975) 295-357
•
DOI:
- 10.1016/0370-1573(75)90051-4

[17]

Cambridge Univ. Press, Cambridge

B.S. DeWitt

[17]

‘‘Quantum fields in curved space,’’, Cambridge University Press, Cambridge

N.D. Birrell
,
P.C.W. Davies

[17]

The Casimir effect: Physical manifestations of zero-point energy

K.A. Milton

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