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We review, in a historical perspective, some results about black hole spacetimes with a regular center.
Ueber die Eigengravitation des elektrischen Feldes nach der Einsteinschen Theorie
H. Reissner · 1916
Earlier work this paper cites.
Ueber das Gravitationsfeld einer Kugel aus inkompressibler Flussigkeit nach der Einsteinschen Theorie
K. Schwarzschild · 1916
Earlier work this paper cites.
Ueber das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie
K. Schwarzschild · 1916
Earlier work this paper cites.
On the curvature of space
W. D. Sitter · 1917
Earlier work this paper cites.
On the relativity of inertia: Remarks concerning Einstein’s latest hypothesis
W. D. Sitter · 1917
Earlier work this paper cites.
On the ehergy of the gravitational field in Einstein’s theory
G. Nordstrom · 1918
Earlier work this paper cites.
A comparison of Whitehead’s and Einstein’s formulee
A. S. Eddington · 1924
Earlier work this paper cites.
On the Quantum Theory of the Electromagnetic Field
M. Born · 1934
Earlier work this paper cites.
Foundations of the New Field Theory
M. Born and L. Infeld · 1934
Earlier work this paper cites.
On Gauge Invariance and Vacuum Polarization
J. Schwinger · 1951
Earlier work this paper cites.
Past-future asymmetry of the gravitational field of a point particle
D. Finkelstein · 1958
Earlier work this paper cites.
Oscillatory Character of Reissner-Nordström Metric for an Ideal Charged Wormhole
J. C. Graves and D. R. Brill · 1960
Earlier work this paper cites.
Maximal Extension of Schwarzschild Metric
M. D. Kruskal · 1960
Earlier work this paper cites.
On the singularities of a Riemannian manifold
G. Szekeres · 1960
Earlier work this paper cites.
Doctoral dissertation
I. D. Novikov · 1963
Earlier work this paper cites.
Occurrence of singularities in open universes
S. W. Hawking · 1965
Earlier work this paper cites.
Gravitational collapse and space-time singularities
R. Penrose · 1965
Earlier work this paper cites.
The complete analytic extension of the Reissner-Nordström metric in the special case e 2 = m 2 e^{2}=m^{2}
B. Carter · 1966
Earlier work this paper cites.
Singularities in closed universes
R. P. Geroch · 1966
Earlier work this paper cites.
Algebraic properties of the energy-momentum tensor and vacuum-like states of matter
E. B. Gliner · 1966
Earlier work this paper cites.
The occurrence of singularities in cosmology
S. W. Hawking · 1966
Earlier work this paper cites.
The occurrence of singularities in cosmology. II
S. W. Hawking · 1966
Earlier work this paper cites.
Singular Hypersurfaces and Thin Shells in General Relativity
W. Israel · 1966
Earlier work this paper cites.
Initial stage of an expanding universe and appearence of a nonuniform distribution of matter
A. D. Sakharov · 1966
Earlier work this paper cites.
The occurrence of singularities in cosmology. III. Causality and singularities
S. W. Hawking · 1967
Earlier work this paper cites.
Singular Hypersurfaces and Thin Shells in General Relativity (Errata)
W. Israel · 1967
Earlier work this paper cites.
Non-singular general-relativistic gravitational collapse
J. M. Bardeen · 1968
Earlier work this paper cites.
Event Horizons in Static Electrovac Space-Times
W. Israel · 1968
Earlier work this paper cites.
Klein-Gordon Geon
D. J. Kaup · 1968
Earlier work this paper cites.
Systems of Self-Gravitating Particles in General Relativity and the Concept of an Equation of State
R. Ruffini and S. Bonazzola · 1969
Earlier work this paper cites.
The singularities of gravitational collapse and cosmology
S. W. Hawking and R. Penrose · 1970
Earlier work this paper cites.
Gravitation
C. W. Misner, K. S. Thorne, and J. A. Wheeler · 1970
Earlier work this paper cites.
Block Diagrams and the Extension of Timelike Two-Surfaces
M. Walker · 1970
Earlier work this paper cites.
The Large Scale Structure of Space-Time
S. W. Hawking and G. F. R. Ellis · 1973
Earlier work this paper cites.
Singularities in Globally Hyperbolic Space-Time
C. J. S. Clarke · 1975
Earlier work this paper cites.
A nonsingular Friedman cosmology
E. B. Gliner and I. G. Dymnikova · 1975
Earlier work this paper cites.
Scalar, Electromagnetic, and Gravitational Fields Interaction: Particlelike Solutions
K. A. Bronnikov, V. N. Melnikov, G. N. Shikin, and K. P. Staniukovich · 1979
Earlier work this paper cites.
A new type of isotropic cosmological models without singularity
A. A. Starobinski · 1980
Earlier work this paper cites.
Spherically symmetric collapse in quantum gravity
V. P. Frolov and G. A. Vilkoviski · 1981
Earlier work this paper cites.
The space-time metric inside a black hole
F. P. Gonzalez-Diaz · 1981
Earlier work this paper cites.
Incomplete black hole evaporation
P. F. Gonzalez-Diaz · 1982
Earlier work this paper cites.
Limiting density of matter as a universal law of nature
M. A. Markov · 1982
Earlier work this paper cites.
Asymptotic freedom and entropy in a perpetually oscillating universe
M. A. Markov · 1983
Earlier work this paper cites.
Stellar collapse without singularities?
T. A. Roman and P. G. Bergman · 1983
Earlier work this paper cites.
Problems of a Perpetually Oscillating Universe
M. A. Markov · 1984
Cited alongside, same era.
De Sitter-like initial state of the universe as a result of asymptotic disappearence of gravitational interactions of matter
M. A. Markov and V. F. Mukhanov · 1984
Cited alongside, same era.
On the problems of a very early universe
M. A. Markov and V. F. Mukhanov · 1984
Cited alongside, same era.
General Relativity
R. M. Wald · 1984
Cited alongside, same era.
Space-time inside a black-hole
O. Gron · 1985
Cited alongside, same era.
De Sitter-like initial state of the universe as a result of asymptotical disappearence of gravitational interactions of matter
M. A. Markov and V. F. Mukhanov · 1985
Cited alongside, same era.
New regular black hole solution from nonlinear electrodynamic
E. Ayon-Beato and A. Garcia · 1999
Later among the works it cites.
Non-Singular Charged Black Hole Solution for Non-Linear Source
E. Ayon-Beato and A. Garcia · 1999
Later among the works it cites.
About black holes with nontrapping interior
A. Cabo and E. Ayon · 1999
Later among the works it cites.
Physically valid black hole interior models
G. Magli · 1999
Later among the works it cites.
A large mass hierarchy from a small extra dimension
L. Randall and R. Sundrum · 1999
Later among the works it cites.
An alternative to compactification
L. Randall and R. Sundrum · 1999
Later among the works it cites.
The Bardeen model as a nonlinear magnetic monopole
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Globally Regular Solutions of a Schwarzschild Black-Hole and a Reissner-Nordstroem Black Hole
W. Shen and S. Zhu · 1985
Cited alongside, same era.
The space-time metric inside a charged black-hole
W. Shen and S. Zhu · 1985
Cited alongside, same era.
Junction conditions on null hypersurface
W. Shen and S. Zhu · 1988
Cited alongside, same era.
Through a black hole into a new universe
V. P. Frolov, M. A. Markov, and V. F. Mukhanov · 1989
Cited alongside, same era.
Dynamical instability of the Gonzalez-Diaz black hole model
O. Gron · 1989
Cited alongside, same era.
Inner-Horizon Instability and Mass Inflation in Black Holes
E. Poisson and W. Israel · 1989
Cited alongside, same era.
E. Ayon-Beato and A. Garcia · 2000
Later among the works it cites.
The algebraic structure of a cosmological term in spherically symmetric solutions
I. G. Dymnikova · 2000
Later among the works it cites.
Boson stars: alternatives to primoridal black holes?
E. W. Mielke and F. E. Schunck · 2000
Later among the works it cites.
Regular magnetic black holes and monopoles from nonlinear electrodynamics
K. A. Bronnikov · 2001
Later among the works it cites.
Spherically symmetric false vacuum: No-go theorems and global structure
K. A. Bronnikov · 2001
Later among the works it cites.
Universes inside a Lambda black hole
I. G. Dymnikova, A. Dobosz, M. L. Filchenkov, and A. Gromov · 2001
Later among the works it cites.
No-go theorem for false vacuum black holes
D. V. Galtsov and J. P. S. Lemos · 2001
Later among the works it cites.
The cosmological term as a source of mass
I. Dymnikova · 2002
Later among the works it cites.
Family of regular interiors for nonrotating black holes with T 0 0 = T 1 1 T_{0}^{0}=T_{1}^{1}
E. Elizalde and S. R. Hildebrandt · 2002
Later among the works it cites.
Anisotropic generalizations of de Sitter spacetime
R. Giambo · 2002
Later among the works it cites.
Classical Black Hole Evaporation in Randall-Sundrum Infinite Braneworld
T. Tanaka · 2002
Later among the works it cites.
A theoretical case for negative mass-square for sub-eV particles
D. H. Ahluwalia-Khalilova and I. Dymnikova · 2003
Later among the works it cites.
Born-Infeld black hole in the isolated horizon framework
N. Breton · 2003
Later among the works it cites.
General class of brane-world black holes
K. A. Bronnikov, H. Dehnen, and V. N. Melnikov · 2003
Later among the works it cites.
Nonsingular vacuum cosmologies with a variable cosmological term
K. A. Bronnikov, A. Dobosz, and I. G. Dymnikova · 2003
Later among the works it cites.
Spherically symmetric space-time with regular de Sitter center
I. Dymnikova · 2003
Later among the works it cites.
Small localized black holes in brane world: Formulation and numerical method
H. Kudoh, T. Tanaka, and T. Nakamura · 2003
Later among the works it cites.
Regular electrically charged vacuum structures with de Sitter centre in nonlinear electrodynamics coupled to general relativity
I. Dymnikova · 2004
Later among the works it cites.
Quantum Gravity
C. Kiefer · 2004
Later among the works it cites.
Non-singular black-holes on the brane
S. Shankaranarayanan and N. Dadhich · 2004
Later among the works it cites.
Stable gravastars - an alternative to black holes?
M. Visser and D. L. Wiltshire · 2004
Later among the works it cites.
Four-parametric regular black hole solution
E. Ayon-Beato and A. Garcia · 2005
Later among the works it cites.
Stability of a vacuum non-singular black hole
I. Dymnikova and E. Galaktionov · 2005
Later among the works it cites.
Nonsingular black hole model as a possible endproduct of gravitational collapse
M. R. Mbonye and D. Kazanas · 2005
Later among the works it cites.
Regular Phantom Black Holes
K. A. Bronnikov and J. C. Fabris · 2006
Later among the works it cites.
Spinning superconducting electrovacuum soliton
I. Dymnikova · 2006
Later among the works it cites.
Formation and Evaporation of Nonsingular Black Holes
S. H. Hayward · 2006
Later among the works it cites.
Kaluza-Klein multi-black holes in five-dimensional Einstein-Maxwell theory
H. Ishihara, M. Kimura, K. Matsuno, and S. Tomizawa · 2006
Later among the works it cites.
Noncommutative geometry inspired Schwarzschild black hole
P. Nicolini, A. Smailagic, and E. Spallucci · 2006
Later among the works it cites.
String Theory: Progress and Problems
J. H. Schwarz · 2006
Later among the works it cites.
Non-commutative geometry inspired charged black holes
S. Ansoldi, P. Nicolini, A. Smailagic, and E. Spallucci · 2007
Later among the works it cites.
Regular black holes and black universes
K. A. Bronnikov, H. Dehnen, and V. N. Melnikov · 2007
Later among the works it cites.
Regular homogeneous T-models with vacuum dark fluid
K. A. Bronnikov and I. Dymnikova · 2007
Later among the works it cites.
Vacuum dark fluid
I. Dymnikova and E. Galaktionov · 2007
Later among the works it cites.
Cosmological black holes on Taub-NUT space in five-dimensional Einstein-Maxwell theory
D. Ida, H. Ishihara, M. Kimura, K. Matsuno, Y. Morisawa, and S. Tomizawa · 2007
Later among the works it cites.
Can gravitational collapse sustain singularity-free trapped surfaces?
M. R. Mbonye and D. Kazanas · 2007
Later among the works it cites.
Implication of classical black hole evaporation conjecture to floating black holes
T. Tanaka · 2007
Later among the works it cites.