Built on

A. Simpson, P. Martín-Moruno and M. Visser, “Vaidya spacetimes, black-bounces, and traversable wormholes”, Class. Quant. Grav. 36
Original
1902
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
M. E. Rodrigues and M. V. de S. Silva, “Regular multi-horizon black holes in f ⁡ ( G ) f(G) gravity with nonlinear electrodynamics”, Phys. Rev. D 99
Original
1906
Earlier work this paper cites.
H. Huang and J. Yang, “Charged Ellis Wormhole and Black Bounce”, Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
R. B. Griffiths, “Ferromagnets and Simple Fluids near the Critical Point: Some Thermodynamic Inequalities”, J. Chem. Phys. 43, 1958 (1965)
1965
Earlier work this paper cites.
J. M. Bardeen,“Non-singular general relativistic gravitational collapse”, in Proceedings of the International Conference GR5, Tbilisi, U.S.S.R. (1968)
1968
Earlier work this paper cites.
H. E. Stanley, “Introduction to Phase Transitions and Critical Phenomena”, Oxford University Press, Ely House, London (1971)
1971
Earlier work this paper cites.
S. W. Hawking, “Black holes in general relativity”, Commun. Math. Phys. 25
1972
Earlier work this paper cites.
A. Hankey and H. E. Stanley, “Systematic Application of Generalized Homogeneous Functions to Static Scaling, Dynamic Scaling, and Universality”, Phys. Rev. B 6
1972
Earlier work this paper cites.
J. M. Bardeen, B. Carter and S. W. Hawking, “The Four laws of black hole mechanics”, Commun. Math. Phys. 31
1973
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy”, Phys. Rev. D 7
1973
Earlier work this paper cites.
S. W. Hawking, “Particle Creation by Black Holes”, Commun. Math. Phys. 43
1976
Earlier work this paper cites.
P. C. W. Davies, “Thermodynamics of Black Holes”, Proc. Roy. Soc. Lond. A 353
1977
Earlier work this paper cites.
M. Colpi, S. L. Shapiro and I. Wasserman, “Boson Stars: Gravitational Equilibria of Selfinteracting Scalar Fields”, Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
M. S. Morris and K. S. Thorne, “Wormholes in space-time and their use 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. Visser, Lorentzian wormholes: From Einstein to Hawking , AIP press [now Springer], New York (1995)
1995
Earlier work this paper cites.
S. Yoshida and Y. Eriguchi, “Rotating boson stars in general relativity”, Phys. Rev. D 56
1997
Earlier work this paper cites.
E. Ayón-Beato and A. García, “Regular black hole in general relativity coupled to nonlinear electrodynamics”, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
E. Ayón-Beato and A. García, “New regular black hole solution from nonlinear electrodynamics”, Phys.Lett. B 464
1999
Earlier work this paper cites.
E. Ayon-Beato, A. Garcia, “The Bardeen Model as a Nonlinear Magnetic Monopole”, Phys. Lett. B 493 (2000) 149-152 [ gr-qc/0009077 [gr-qc]]
2000
Earlier work this paper cites.
K. A. Bronnikov, “Regular magnetic black holes and monopoles from nonlinear electrodynamics”, Phys. Rev. D 63
2001
Earlier work this paper cites.
R. M. Wald, “The thermodynamics of black holes”, Living Rev. Rel. 4
2001
Earlier work this paper cites.
E. L. B. Junior, M. E. Rodrigues and M. V. de S. Silva, “Regular Black Holes in Rainbow Gravity”, Nucl. Phys. B 961
Original
2002
Earlier work this paper cites.
A. Dehyadegari and A. Sheykhi, “Critical behavior of charged dilaton black holes in AdS space”, Phys. Rev. D 102
Original
2002
Earlier work this paper cites.
F. S. N. Lobo, A. Simpson and M. Visser, “Dynamic thin-shell black-bounce traversable wormholes”, Phys. Rev. D 101
Original
2003
Earlier work this paper cites.
D. V. Singh and S. Siwach, “Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4 D D Einstein-Gauss-Bonnet Gravity,” Phys. Lett. B 808
Original
2003
Earlier work this paper cites.
S. W. Wei and Y. X. Liu, “Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space”, Phys. Rev. D 101
Original
2003
Earlier work this paper cites.
I. Dymnikova, “Regular electrically charged structures in nonlinear electrodynamics coupled to general relativity”, Classical Quantum Gravity 21
2004
Earlier work this paper cites.

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J. R. Nascimento, A. Y. Petrov, P. J. Porfirio and A. R. Soares, “Gravitational lensing in black-bounce spacetimes”, Phys. Rev. D 102
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Later among the works it cites.
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V. Cardoso, E. Franzin and P. Pani, “Is the gravitational-wave ringdown a probe of the event horizon?”, Phys. Rev. Lett. 116
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2022

Bardeen-Kiselev black hole with cosmological constant

Rodrigues, Manuel E., Silva, Marcos V. de S., Vieira, Henrique A.

Understand

In this work we analyze a solution that mimics the Bardeen solution with a cosmological constant surrounded by quintessence.

We show that this solution can be obtained by Einstein equations coupled with nonlinear electrodynamics.
We also show that the solution is not always regular and what the conditions for regularity are.
We analyze the thermodynamics associated with this type of solution by establishing the form of the Smarr formula and the first law of thermodynamics.

Built on

A. Simpson, P. Martín-Moruno and M. Visser, “Vaidya spacetimes, black-bounces, and traversable wormholes”, Class. Quant. Grav. 36
Original
1902
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
K. Akiyama et al
Original
1906
Earlier work this paper cites.
M. E. Rodrigues and M. V. de S. Silva, “Regular multi-horizon black holes in f ⁡ ( G ) f(G) gravity with nonlinear electrodynamics”, Phys. Rev. D 99
Original
1906
Earlier work this paper cites.
H. Huang and J. Yang, “Charged Ellis Wormhole and Black Bounce”, Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
R. B. Griffiths, “Ferromagnets and Simple Fluids near the Critical Point: Some Thermodynamic Inequalities”, J. Chem. Phys. 43, 1958 (1965)
1965
Earlier work this paper cites.
J. M. Bardeen,“Non-singular general relativistic gravitational collapse”, in Proceedings of the International Conference GR5, Tbilisi, U.S.S.R. (1968)
1968
Earlier work this paper cites.
H. E. Stanley, “Introduction to Phase Transitions and Critical Phenomena”, Oxford University Press, Ely House, London (1971)
1971
Earlier work this paper cites.
S. W. Hawking, “Black holes in general relativity”, Commun. Math. Phys. 25
1972
Earlier work this paper cites.
A. Hankey and H. E. Stanley, “Systematic Application of Generalized Homogeneous Functions to Static Scaling, Dynamic Scaling, and Universality”, Phys. Rev. B 6
1972
Earlier work this paper cites.
J. M. Bardeen, B. Carter and S. W. Hawking, “The Four laws of black hole mechanics”, Commun. Math. Phys. 31
1973
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy”, Phys. Rev. D 7
1973
Earlier work this paper cites.
S. W. Hawking, “Particle Creation by Black Holes”, Commun. Math. Phys. 43
1976
Earlier work this paper cites.
P. C. W. Davies, “Thermodynamics of Black Holes”, Proc. Roy. Soc. Lond. A 353
1977
Earlier work this paper cites.
M. Colpi, S. L. Shapiro and I. Wasserman, “Boson Stars: Gravitational Equilibria of Selfinteracting Scalar Fields”, Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
M. S. Morris and K. S. Thorne, “Wormholes in space-time and their use 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. Visser, Lorentzian wormholes: From Einstein to Hawking , AIP press [now Springer], New York (1995)
1995
Earlier work this paper cites.
S. Yoshida and Y. Eriguchi, “Rotating boson stars in general relativity”, Phys. Rev. D 56
1997
Earlier work this paper cites.
E. Ayón-Beato and A. García, “Regular black hole in general relativity coupled to nonlinear electrodynamics”, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
E. Ayón-Beato and A. García, “New regular black hole solution from nonlinear electrodynamics”, Phys.Lett. B 464
1999
Earlier work this paper cites.
E. Ayon-Beato, A. Garcia, “The Bardeen Model as a Nonlinear Magnetic Monopole”, Phys. Lett. B 493 (2000) 149-152 [ gr-qc/0009077 [gr-qc]]
2000
Earlier work this paper cites.
K. A. Bronnikov, “Regular magnetic black holes and monopoles from nonlinear electrodynamics”, Phys. Rev. D 63
2001
Earlier work this paper cites.
R. M. Wald, “The thermodynamics of black holes”, Living Rev. Rel. 4
2001
Earlier work this paper cites.
E. L. B. Junior, M. E. Rodrigues and M. V. de S. Silva, “Regular Black Holes in Rainbow Gravity”, Nucl. Phys. B 961
Original
2002
Earlier work this paper cites.
A. Dehyadegari and A. Sheykhi, “Critical behavior of charged dilaton black holes in AdS space”, Phys. Rev. D 102
Original
2002
Earlier work this paper cites.
F. S. N. Lobo, A. Simpson and M. Visser, “Dynamic thin-shell black-bounce traversable wormholes”, Phys. Rev. D 101
Original
2003
Earlier work this paper cites.
D. V. Singh and S. Siwach, “Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4 D D Einstein-Gauss-Bonnet Gravity,” Phys. Lett. B 808
Original
2003
Earlier work this paper cites.
S. W. Wei and Y. X. Liu, “Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space”, Phys. Rev. D 101
Original
2003
Earlier work this paper cites.
I. Dymnikova, “Regular electrically charged structures in nonlinear electrodynamics coupled to general relativity”, Classical Quantum Gravity 21
2004
Earlier work this paper cites.

Similar

J. R. Nascimento, A. Y. Petrov, P. J. Porfirio and A. R. Soares, “Gravitational lensing in black-bounce spacetimes”, Phys. Rev. D 102
Original
2005
Cited alongside, same era.
H. C. D. Lima and L. C. B. Crispino, “Tidal forces in the charged Hayward black hole spacetime”, Int. J. Mod. Phys. D 29
Original
2005
Cited alongside, same era.
R. Abbott et al
Original
2006
Cited alongside, same era.
W. Berej, J. Matyjasek, D. Tryniecki, M. Woronowicz, “Regular black holes in quadratic gravity”, Gen. Rel. Grav. 38
2006
Cited alongside, same era.
H. C. D. Lima, C. L. Benone and L. C. B. Crispino, “Scalar absorption: Black holes versus wormholes”, Phys. Rev. D 101
Original

Then

B. P. Abbott et al
Original
2016
Later among the works it cites.
B. P. Abbott et al
Original
2016
Later among the works it cites.
V. Cardoso, E. Franzin and P. Pani, “Is the gravitational-wave ringdown a probe of the event horizon?”, Phys. Rev. Lett. 116
Original
2016
Later among the works it cites.
K. A. Bronnikov and A. M. Galiakhmetov, “Wormholes and black universes without phantom fields in Einstein-Cartan theory”, Phys. Rev. D 94
Original
2016
Later among the works it cites.
Z. Y. Fan and X. Wang, “Construction of Regular Black Holes in General Relativity”, Phys. Rev. D 94
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2006

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J. Plebanski and A. Krasinski, An Introduction to General Relativity and Cosmology

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J. E. Gallagher, “Natural Gas Measurement Handbook”,Gulf Publishing Company (2006)

2006

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2007

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A. Naveena Kumara, C. L. Ahmed Rizwan, K. Hegde, M. S. Ali and K. M. Ajith, “Ruppeiner geometry, reentrant phase transition, and microstructure of Born-Infeld AdS black hole”, Phys. Rev. D 103

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2007

Cited alongside, same era.

L. Hollenstein and F. S. N. Lobo, “Exact solutions of f ⁡ ( R ) f(R) gravity coupled to nonlinear electrodynamics”, Phys. Rev. D 78

Original

2008

Cited alongside, same era.

F. S. N. Lobo, M. E. Rodrigues, M. V. d. S. Silva, A. Simpson and M. Visser, “Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure”, Phys. Rev. D 103

Original

2009

Cited alongside, same era.

J. L. Blázquez-Salcedo, C. Knoll and E. Radu, “Traversable wormholes in Einstein-Dirac-Maxwell theory”, Phys. Rev. Lett. 126

Original

2010

Cited alongside, same era.

2016