Abstract
We investigate a vacuum decay around a spinning seed black hole by using the Israel junction condition and conclude that the spin of black hole would suppress a vacuum decay rate compared to that for a non-spinning case, provided that the surface of vacuum bubble has its ellipsoidal shape characterized by the Kerr geometry. We also find out that in the existence of a near-extremal black hole, a false vacuum state can be more stabilized than the case of the Coleman-de Luccia solution. A few necessary assumptions to carry the calculations are discussed.
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I.Y. Kobzarev, L.B. Okun and M.B. Voloshin, Bubbles in metastable vacuum, Sov. J. Nucl. Phys.20 (1975) 644 [Yad. Fiz.20 (1974) 1229] [INSPIRE].
S.R. Coleman, The fate of the false vacuum. 1. Semiclassical theory, Phys. Rev.D 15 (1977) 2929 [Erratum ibid.D 16 (1977) 1248] [INSPIRE].
C.G. Callan Jr. and S.R. Coleman, The fate of the false vacuum. 2. First quantum corrections, Phys. Rev.D 16 (1977) 1762.
S.R. Coleman and F. De Luccia, Gravitational effects on and of vacuum decay, Phys. Rev.D 21 (1980) 3305.
S.R. Coleman, V. Glaser and A. Martin, Action minima among solutions to a class of Euclidean scalar field equations, Commun. Math. Phys.58 (1978) 211.
K. Sato, M. Sasaki, H. Kodama and K.I. Maeda, Creation of wormholes by first order phase transition of a vacuum in the early universe, Prog. Theor. Phys.65 (1981) 1443 [INSPIRE].
J.R. Gott, Creation of open universes from de Sitter space, Nature295 (1982) 304 [INSPIRE].
L. Susskind, The anthropic landscape of string theory, hep-th/0302219 [INSPIRE].
B. Freivogel and L. Susskind, A framework for the landscape, Phys. Rev.D 70 (2004) 126007 [hep-th/0408133] [INSPIRE].
R.-G. Cai et al., The Gravitational-Wave Physics, Natl. Sci. Rev.4 (2017) 687 [arXiv:1703.00187] [INSPIRE].
A. Mazumdar and G. White, Review of cosmic phase transitions: their significance and experimental signatures, Rept. Prog. Phys.82 (2019) 076901 [arXiv:1811.01948] [INSPIRE].
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett.B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett.B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
M. Sher, Electroweak Higgs potentials and vacuum stability, Phys. Rept.179 (1989) 273 [INSPIRE].
P.B. Arnold, Can the electroweak vacuum be unstable?, Phys. Rev.D 40 (1989) 613 [INSPIRE].
G. Altarelli and G. Isidori, Lower limit on the Higgs mass in the standard model: an update, Phys. Lett.B 337 (1994) 141 [INSPIRE].
J.R. Espinosa and M. Quirós, Improved metastability bounds on the standard model Higgs mass, Phys. Lett.B 353 (1995) 257 [hep-ph/9504241] [INSPIRE].
J.A. Casas, J.R. Espinosa and M. Quirós, Standard model stability bounds for new physics within LHC reach, Phys. Lett.B 382 (1996) 374 [hep-ph/9603227] [INSPIRE].
T. Hambye and K. Riesselmann, Matching conditions and Higgs mass upper bounds revisited, Phys. Rev.D 55 (1997) 7255 [hep-ph/9610272] [INSPIRE].
G. Isidori, G. Ridolfi and A. Strumia, On the metastability of the standard model vacuum, Nucl. Phys.B 609 (2001) 387 [hep-ph/0104016] [INSPIRE].
J.R. Espinosa, G.F. Giudice and A. Riotto, Cosmological implications of the Higgs mass measurement, JCAP05 (2008) 002 [arXiv:0710.2484] [INSPIRE].
J. Ellis et al., The probable fate of the standard model, Phys. Lett.B 679 (2009) 369 [arXiv:0906.0954] [INSPIRE].
F. Bezrukov, M.Yu. Kalmykov, B.A. Kniehl and M. Shaposhnikov, Higgs Boson Mass and New Physics, JHEP10 (2012) 140 [arXiv:1205.2893] [INSPIRE].
A.V. Bednyakov, B.A. Kniehl, A.F. Pikelner and O.L. Veretin, Stability of the electroweak vacuum: gauge independence and advanced precision, Phys. Rev. Lett.115 (2015) 201802 [arXiv:1507.08833] [INSPIRE].
J. Elias-Miro et al., Higgs mass implications on the stability of the electroweak vacuum, Phys. Lett.B 709 (2012) 222 [arXiv:1112.3022] [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the Standard Model at NNLO, JHEP08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
V. Branchina and E. Messina, Stability, Higgs boson mass and new physics, Phys. Rev. Lett.111 (2013) 241801 [arXiv:1307.5193] [INSPIRE].
E. Greenwood, E. Halstead, R. Poltis and D. Stojkovic, Dark energy, the electroweak vacua and collider phenomenology, Phys. Rev.D 79 (2009) 103003 [arXiv:0810.5343] [INSPIRE].
S. Chigusa, T. Moroi and Y. Shoji, State-of-the-art calculation of the decay rate of electroweak vacuum in the standard model, Phys. Rev. Lett.119 (2017) 211801 [arXiv:1707.09301] [INSPIRE].
S. Chigusa, T. Moroi and Y. Shoji, Decay rate of electroweak vacuum in the standard model and beyond, Phys. Rev.D 97 (2018) 116012 [arXiv:1803.03902] [INSPIRE].
W.A. Hiscock, Can black holes nucleate vacuum phase transitions?, Phys. Rev.D 35 (1987) 1161 [INSPIRE].
R. Gregory, I.G. Moss and B. Withers, Black holes as bubble nucleation sites, JHEP03 (2014) 081 [arXiv:1401.0017] [INSPIRE].
N. Oshita, M. Yamada and M. Yamaguchi, Compact objects as the catalysts for vacuum decays, Phys. Lett.B 791 (2019) 149 [arXiv:1808.01382] [INSPIRE].
H. Nariai, On some static solutions of Einstein’s gravitational field equations in a spherically symmetric case, Sci. Rept. Tohoku Univ.34 (1950) 160.
H. Nariai, On a new cosmological solution of Einstein’s field equations of gravitation, Sci. Rept. Tohoku Univ.35 (1951) 46.
P.E. Kashargin and S.V. Sushkov, Rotating thin-shell wormhole from glued Kerr spacetimes, Grav. Cosmol.17 (2011) 119 [arXiv:1101.5281] [INSPIRE].
D.-C. Dai, R. Gregory and D. Stojkovic, Connecting the Higgs potential and primordial black holes, arXiv:1909.00773 [INSPIRE].
M. He and T. Suyama, Formation threshold of rotating primordial black holes, Phys. Rev.D 100 (2019) 063520 [arXiv:1906.10987] [INSPIRE].
T. Harada, C.-M. Yoo, K. Kohri and K.-I. Nakao, Spins of primordial black holes formed in the matter-dominated phase of the Universe, Phys. Rev.D 96 (2017) 083517 [Erratum ibid.D 99 (2019) 069904] [arXiv:1707.03595] [INSPIRE].
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Oshita, N., Ueda, K. & Yamaguchi, M. Vacuum decays around spinning black holes. J. High Energ. Phys. 2020, 15 (2020). https://doi.org/10.1007/JHEP01(2020)015
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DOI: https://doi.org/10.1007/JHEP01(2020)015