Abstract
Vacuum bubbles may nucleate and expand during the inflationary epoch in the early universe. After inflation ends, the bubbles quickly dissipate their kinetic energy; they come to rest with respect to the Hubble flow and eventually form black holes. The fate of the bubble itself depends on the resulting black hole mass. If the mass is smaller than a certain critical value, the bubble collapses to a singularity. Otherwise, the bubble interior inflates, forming a baby universe, which is connected to the exterior FRW region by a wormhole. A similar black hole formation mechanism operates for spherical domain walls nucleating during inflation. As an illustrative example, we studied the black hole mass spectrum in the domain wall scenario, assuming that domain walls interact with matter only gravitationally. Our results indicate that, depending on the model parameters, black holes produced in this scenario can have significant astrophysical effects and can even serve as dark matter or as seeds for supermassive black holes. The mechanism of black hole formation described in this paper is very generic and has important implications for the global structure of the universe. Baby universes inside super-critical black holes inflate eternally and nucleate bubbles of all vacua allowed by the underlying particle physics. The resulting multiverse has a very non-trivial spacetime structure, with a multitude of eternally inflating regions connected by wormholes. If a black hole population with the predicted mass spectrum is discovered, it could be regarded as evidence for inflation and for the existence of a multiverse.
Export citation and abstract BibTeX RIS

Article funded by SCOAP. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
- [1]V.F. Mukhanov and G.V. Chibisov, 1981 Quantum Fluctuation and Nonsingular Universe JETP Lett. 33 532 (in Russian)
- V.F. Mukhanov and G.V. Chibisov, 1981 Pisma Zh. Eksp. Teor. Fiz. 33 549
- [2]S.R. Coleman and F. De Luccia, 1980 Gravitational Effects on and of Vacuum Decay, Phys. Rev. D 21 3305
- [3]K.-M. Lee and E.J. Weinberg, 1987 Decay of the True Vacuum in Curved Space-time, Phys. Rev. D 36 1088
- [4]R. Basu, A.H. Guth and A. Vilenkin, 1991 Quantum creation of topological defects during inflation, Phys. Rev. D 44 340
- [5]A. Vilenkin, 1983 Gravitational Field of Vacuum Domain Walls, Phys. Lett. B 133 177
- [6]J. Ipser and P. Sikivie, 1984 The Gravitationally Repulsive Domain Wall, Phys. Rev. D 30 712
- [7]H. Kodama, M. Sasaki, K. Sato and K.-i. Maeda, 1981 Fate of Wormholes Created by First Order Phase Transition in the Early Universe, Prog. Theor. Phys. 66 2052
- [8]V.A. Berezin, V.A. Kuzmin and I.I. Tkachev, 1983 Thin Wall Vacuum Domains Evolution, Phys. Lett. B 120 91
- [9]S.K. Blau, E.I. Guendelman and A.H. Guth, 1987 The Dynamics of False Vacuum Bubbles, Phys. Rev. D 35 1747
- [10]M.V. Medvedev and A. Loeb, 2013 Dynamics of Astrophysical Bubbles and Bubble-Driven Shocks: Basic Theory, Analytical Solutions and Observational Signatures, Astrophys. J. 768 113 [1212.0330]
- [11]R.D. Blandford and C.F. McKee, 1976 Fluid dynamics of relativistic blast waves, Phys. Fluids 19 1130
- [12]
- [13]A.E. Everett, 1974 Observational consequences of a `domain' structure of the universe, Phys. Rev. D 10 3161
- [14]
- [15]J. Garriga and A. Vilenkin, 2013 Watchers of the multiverse J. Cosmol. Astropart. Phys. 2013 05 037 [1210.7540]
- [16]
- [17]N. Tanahashi and C.-M. Yoo, 2015 Spherical Domain Wall Collapse in a Dust Universe, Class. Quant. Grav. 32 155003 [1411.7479]
- [18]M.Yu. Khlopov, 2010 Primordial Black Holes, Res. Astron. Astrophys. 10 495 [0801.0116]
- [19]
- [20]
- [21]M. Ricotti, J.P. Ostriker and K.J. Mack, 2008 Effect of Primordial Black Holes on the Cosmic Microwave Background and Cosmological Parameter Estimates, Astrophys. J. 680 829 [0709.0524]
- [22]
- [23]P.H. Frampton, The Primordial Black Hole Mass Range, [1511.08801]
- [24]
- [25]L. Susskind, 2009 The Anthropic landscape of string theory, in Universe or multiverse?, B. Carr ed., Cambridge University Press , pp. 247–266 [hep-th/0302219]
- [26]P. Pani and A. Loeb, 2014 Tidal capture of a primordial black hole by a neutron star: implications for constraints on dark matter J. Cosmol. Astropart. Phys. 2014 06 026 [1401.3025]
- [27]F. Capela, M. Pshirkov and P. Tinyakov, A comment on ``Exclusion of the remaining mass window for primordial black holes&ldots;'', [1402.4671]
- [28]A. Linde, A brief history of the multiverse, [1512.01203]
- [29]
- [30]
- [31]
- [32]B.J. Carr, Primordial black holes: Do they exist and are they useful?, [astro-ph/0511743]
- [33]
- [34]
- [35]
- [36]E. Farhi and A.H. Guth, 1987 An Obstacle to Creating a Universe in the Laboratory, Phys. Lett. B 183 149
- [37]
- [38]R. Penrose, 1965 Gravitational collapse and space-time singularities, Phys. Rev. Lett. 14 57