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2023

Traversable Morris-Thorne-Buchdahl wormholes in quadratic gravity

Nguyen, Hoang Ky, Azreg-Aïnou, Mustapha

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The special Buchdahl-inspired metric obtained in a recent paper [Phys.

Rev.
D 107, 104008 (2023)] describes asymptotically flat spacetimes in pure $\mathcal{R}^{2}$ gravity.
The metric depends on a new (Buchdahl) parameter $\tilde{k}$ of higher-derivative characteristic, and recovers the Schwarzschild metric when $\tilde{k}=0$.

Traversable Morris-Thorne-Buchdahl wormholes in quadratic gravity · Around

Built on

P. G. Ferreira and O. J. Tattersall, Scale invariant gravity and black hole ringdown , Phys. Rev. D 101
Original
1910
Earlier work this paper cites.
H. A. Buchdahl, On the Gravitational Field Equations Arising from the Square of the Gaussian Curvature , Nuovo Cimento 23
1962
Earlier work this paper cites.
K. S. Stelle, Renormalization of higher-derivative quantum gravity, Phys. Rev. D 16
1978
Earlier work this paper cites.
R. M. Wald, Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant , Phys. Rev. D 28
1983
Earlier work this paper cites.
G. J. Galloway, The lorentzian splitting theorem without the completeness assumption , Journal of differential geometry 29
1983
Earlier work this paper cites.
M. S. Morris and K. S. Thorne, Wormholes in spacetime and their for interstellar travel: A tool for teaching general relativity , Am. J. Phys. 56
1988
Earlier work this paper cites.
M. S. Morris, K. S. Thorne, and U. Yurtsever, Wormholes, Time Machines, and the Weak Energy Condition , Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
M. Campanelli and C. Lousto, Are Black Holes in Brans-Dicke Theory precisely the same as in General Relativity? , Int. J. Mod. Phys. D 2
1993
Earlier work this paper cites.
J. G. Cramer, R. L. Forward, M. S. Morris, M. Visser, G. Benford, and G. A. Landis, Natural wormholes as gravitational lenses , Phys. Rev. D 51
1995
Earlier work this paper cites.
A. G. Agnese and M. La Camera, Wormholes in the Brans-Dicke theory of gravitation , Phys. Rev. D 51
1995
Earlier work this paper cites.
A. Borde and A. Vilenkin, Violation of the weak energy condition in inflating spacetimes , Phys. Rev. D 56
1997
Earlier work this paper cites.
M. Azreg-Aïnou, Instability of two-dimensional heterotic stringy black holes , Class. Quantum. Grav. 16 (1999) 245, arXiv:9902005 [gr-qc]
1999
Earlier work this paper cites.
C. Barceló and M. Visser, Scalar fields, energy conditions and traversable wormholes , Class. Quantum Grav. 17
2000
Earlier work this paper cites.
M. Azreg-Aïnou, G. Clément, C. P. Constantinidis, J. C. Fabris, Electrostatic solutions in Kaluza-Klein theory: geometry and stability , Grav. Cosmol. 6 (2000) 207, arXiv:9911107 [gr-qc]
2000
Earlier work this paper cites.
L. H. Ford and T. A. Roman, Classical scalar fields and the generalized second law , Phys. Rev. D 64
2001
Earlier work this paper cites.
E-A. Kontou and K. Sanders, Energy conditions in general relativity and quantum field theory , Class. Quantum. Grav. 37 (2020), 193001, arXiv:2003.01815 [gr-qc]
Original
2003
Earlier work this paper cites.
S. Kar, N. Dadhich, and M. Visser, Quantifying energy condition violations in traversable wormholes , Pramana - J. Phys. 63
2004
Earlier work this paper cites.
F. S. N. Lobo, Stability of phantom wormholes , Phys. Rev. D 71 (2005) 124022, arXiv:0506001 [gr-qc]
2005
Earlier work this paper cites.
J. Santos, J. S. Alcaniz, and M. J. Rebouşas, Energy conditions and supernovae observations , Phys. Rev. D 74
2006
Earlier work this paper cites.
T. Clifton, Spherically Symmetric Solutions to Fourth-Order Theories of Gravity , Class. Quant. Grav. 23
2006
Earlier work this paper cites.
T. Damour and S. N. Solodukhin, Wormholes as black hole foils , Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
A. A. Sen and R. J. Scherrer, The weak energy condition and the expansion history of the Universe , Phys. Lett. B 659
2008
Earlier work this paper cites.

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