Built on

K. Croker, K. Nishimura and D. Farrah, “Implications of Symmetry and Pressure in Friedmann Cosmology. II. Stellar Remnant Black Hole Mass Function”, Astrophys. J. 889
Original
1904
Earlier work this paper cites.
P. Boonserm, T. Ngampitipan, A. Simpson and M. Visser, “Innermost and outermost stable circular orbits in the presence of a positive cosmological constant”, Phys. Rev. D 101
Original
1909
Earlier work this paper cites.
A. Simpson and M. Visser, “Regular black holes with asymptotically Minkowski cores”, Universe 6
Original
1911
Earlier work this paper cites.
F. Kottler, “Über die physikalischen Grundlagen der Einsteinschen Gravitationstheorie”, Ann. Phys. (Germany) 56
1918
Earlier work this paper cites.
G. C. McVittie, “The mass particle in an expanding universe”, MNRAS 93
1933
Earlier work this paper cites.
R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics”, Phys. Rev. Lett. 11
1963
Earlier work this paper cites.
R. P. Kerr, “Gravitational collapse and rotation”. Proceedings of the first Texas symposium, December 1963. Republished in [ 31 ]
1963
Earlier work this paper cites.
E. T. Newman, R. Couch, K. Chinnapared, A. Exton, A. Prakash and R. Torrence, “Metric of a Rotating, Charged Mass”, J. Math. Phys. 6
1965
Earlier work this paper cites.
E. T. Newman and A. I. Janis, “Note on the Kerr spinning particle metric”, J. Math. Phys. 6
1965
Earlier work this paper cites.
R. H. Boyer and R. W. Lindquist, “Maximal analytic extension of the Kerr metric”, J. Math. Phys. 8
1967
Earlier work this paper cites.
B. Carter, “Global structure of the Kerr family of gravitational fields”, Phys. Rev. 174
1968
Earlier work this paper cites.
V. De La Cruz and W. Israel, “Spinning Shell as a Source of the Kerr Metric”, Phys. Rev. 170
1968
Earlier work this paper cites.
J. M. Bardeen, “Kerr Metric Black Holes”, Nature 226
1970
Earlier work this paper cites.
W. Israel, “Source of the Kerr metric”, Phys. Rev. D 2
1970
Earlier work this paper cites.
Brandon Carter, “Black hole equilibrium states”, in Black Holes: Les Astres Occlus , ed. by B. DeWitt, C. M. DeWitt, (Gordon and Breach, New York, 1973). ISBN : 0677156103
1973
Earlier work this paper cites.

Similar

P. C. Li, M. Guo and B. Chen, “Shadow of a Spinning Black Hole in an Expanding Universe”, Phys. Rev. D 101
Original
2001
Cited alongside, same era.
P. O. Mazur and E. Mottola, “Gravitational vacuum condensate stars”, Proc. Nat. Acad. Sci. 101
2004
Cited alongside, same era.
M. Visser and D. L. Wiltshire, “Stable gravastars: An Alternative to black holes?”, Class. Quant. Grav. 21
2004
Cited alongside, same era.
C. Cattoen, T. Faber and M. Visser, “Gravastars must have anisotropic pressures,” Class. Quant. Grav. 22
2005
Cited alongside, same era.
T. Berry, A. Simpson and M. Visser, “Photon spheres, ISCOs, and OSCOs: Astrophysical observables for regular black holes with asymptotically Minkowski cores”, Universe 7
Original
2008
Cited alongside, same era.

Then

P. Hintz and A. Vasy, “The global non-linear stability of the Kerr-de Sitter family of black holes”, Acta Mathematica 220
Original
2018
Later among the works it cites.
R. Carballo-Rubio, F. Di Filippo, S. Liberati and M. Visser, “Phenomenological aspects of black holes beyond general relativity”, Phys. Rev. D 98
Original
2018
Later among the works it cites.
K. S. Croker and J. L. Weiner, “Implications of Symmetry and Pressure in Friedmann Cosmology. I. Formalism”, Astrophys. J. 882
Original
2019
Later among the works it cites.
K. S. Croker, J. Runburg and D. Farrah, “Implications of Symmetry and Pressure in Friedmann Cosmology. III. Point Sources of Dark Energy that Tend toward Uniformity”, Astrophys. J. 900
2020
Later among the works it cites.
R. Gaur and M. Visser, “Cosmology in Painlevé-Gullstrand coordinates”, JCAP 09

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2023

Black holes embedded in FLRW cosmologies

Gaur, Rudeep, Visser, Matt

Understand

There has recently been some considerable interest expressed in a highly speculative model of black hole evolution -- allegedly by a postulated direct coupling between black holes and cosmological expansion independently of accretion or mergers.

We wish to make several cautionary comments in this regard -- at least three exact solutions corresponding to black holes embedded in a FLRW background are known, (Kottler, McVittie, Kerr-de Sitter), and they show no hint of this claimed effect -- thereby implying that this claimed effect (if it exists at all) is certainly nowhere near ubiquitous.

Built on

K. Croker, K. Nishimura and D. Farrah, “Implications of Symmetry and Pressure in Friedmann Cosmology. II. Stellar Remnant Black Hole Mass Function”, Astrophys. J. 889
Original
1904
Earlier work this paper cites.
P. Boonserm, T. Ngampitipan, A. Simpson and M. Visser, “Innermost and outermost stable circular orbits in the presence of a positive cosmological constant”, Phys. Rev. D 101
Original
1909
Earlier work this paper cites.
A. Simpson and M. Visser, “Regular black holes with asymptotically Minkowski cores”, Universe 6
Original
1911
Earlier work this paper cites.
F. Kottler, “Über die physikalischen Grundlagen der Einsteinschen Gravitationstheorie”, Ann. Phys. (Germany) 56
1918
Earlier work this paper cites.
G. C. McVittie, “The mass particle in an expanding universe”, MNRAS 93
1933
Earlier work this paper cites.
R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special metrics”, Phys. Rev. Lett. 11
1963
Earlier work this paper cites.
R. P. Kerr, “Gravitational collapse and rotation”. Proceedings of the first Texas symposium, December 1963. Republished in [ 31 ]
1963
Earlier work this paper cites.
E. T. Newman, R. Couch, K. Chinnapared, A. Exton, A. Prakash and R. Torrence, “Metric of a Rotating, Charged Mass”, J. Math. Phys. 6
1965
Earlier work this paper cites.
E. T. Newman and A. I. Janis, “Note on the Kerr spinning particle metric”, J. Math. Phys. 6
1965
Earlier work this paper cites.
R. H. Boyer and R. W. Lindquist, “Maximal analytic extension of the Kerr metric”, J. Math. Phys. 8
1967
Earlier work this paper cites.
B. Carter, “Global structure of the Kerr family of gravitational fields”, Phys. Rev. 174
1968
Earlier work this paper cites.
V. De La Cruz and W. Israel, “Spinning Shell as a Source of the Kerr Metric”, Phys. Rev. 170
1968
Earlier work this paper cites.
J. M. Bardeen, “Kerr Metric Black Holes”, Nature 226
1970
Earlier work this paper cites.
W. Israel, “Source of the Kerr metric”, Phys. Rev. D 2
1970
Earlier work this paper cites.
Brandon Carter, “Black hole equilibrium states”, in Black Holes: Les Astres Occlus , ed. by B. DeWitt, C. M. DeWitt, (Gordon and Breach, New York, 1973). ISBN : 0677156103
1973
Earlier work this paper cites.

Similar

P. C. Li, M. Guo and B. Chen, “Shadow of a Spinning Black Hole in an Expanding Universe”, Phys. Rev. D 101
Original
2001
Cited alongside, same era.
P. O. Mazur and E. Mottola, “Gravitational vacuum condensate stars”, Proc. Nat. Acad. Sci. 101
2004
Cited alongside, same era.
M. Visser and D. L. Wiltshire, “Stable gravastars: An Alternative to black holes?”, Class. Quant. Grav. 21
2004
Cited alongside, same era.
C. Cattoen, T. Faber and M. Visser, “Gravastars must have anisotropic pressures,” Class. Quant. Grav. 22
2005
Cited alongside, same era.
T. Berry, A. Simpson and M. Visser, “Photon spheres, ISCOs, and OSCOs: Astrophysical observables for regular black holes with asymptotically Minkowski cores”, Universe 7
Original
2008
Cited alongside, same era.

Then

P. Hintz and A. Vasy, “The global non-linear stability of the Kerr-de Sitter family of black holes”, Acta Mathematica 220
Original
2018
Later among the works it cites.
R. Carballo-Rubio, F. Di Filippo, S. Liberati and M. Visser, “Phenomenological aspects of black holes beyond general relativity”, Phys. Rev. D 98
Original
2018
Later among the works it cites.
K. S. Croker and J. L. Weiner, “Implications of Symmetry and Pressure in Friedmann Cosmology. I. Formalism”, Astrophys. J. 882
Original
2019
Later among the works it cites.
K. S. Croker, J. Runburg and D. Farrah, “Implications of Symmetry and Pressure in Friedmann Cosmology. III. Point Sources of Dark Energy that Tend toward Uniformity”, Astrophys. J. 900
2020
Later among the works it cites.
R. Gaur and M. Visser, “Cosmology in Painlevé-Gullstrand coordinates”, JCAP 09

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

D. L. Wiltshire, M. Visser and S. M. Scott, “The Kerr spacetime: Rotating black holes in general relativity”, Cambridge University Press, 2009, ISBN 978-0-521-88512-6

2009

Cited alongside, same era.

Brandon Carter, Republication of: “Black hole equilibrium states: Part I Analytic and geometric properties of the Kerr solutions”, General Relativity and Gravitation 41

2009

Cited alongside, same era.

N. Kaloper, M. Kleban and D. Martin, “McVittie’s Legacy: Black Holes in an Expanding Universe”, Phys. Rev. D 81

Original

2010

Cited alongside, same era.

K. Lake and M. Abdelqader, “More on McVittie’s Legacy: A Schwarzschild–de Sitter black and white hole embedded in an asymptotically Λ \Lambda CDM cosmology”, Phys. Rev. D 84

Original

2011

Cited alongside, same era.

S. Akcay and R. A. Matzner, “Kerr-de Sitter Universe”, Class. Quant. Grav. 28

Original