Abstract
We overview the basic characteristic features of the regular rotating black holes (RRBHs) and physical solitons G-lumps, which are nonsingular non-dissipative self-gravitating compact objects replacing naked singularities. Geometry of these objects is described by the axially symmetric metrics, obtained from spherical metrics of the Kerr-Schild class with using the Gürses-Gürsey formalism which includes the Newman-Janis algorithm. They have the interior de Sitter equatorial disk, and two types of interiors determined by the energy conditions. One of them contains an additional closed de Sitter vacuum S-surface with the de Sitter disk as a bridge, and a phantom fluid in the cavities between the S-surface and the disk. Geometry includes ergoregions where processes of extraction of the rotational energy can occur, as well as of the de Sitter and phantom energy. Around a RRBH there exists one counter-rotating unstable light ring, and one co-rotating light ring, stable for a certain class of black holes. Around spinning G-lumps there exists unstable counter-rotating light ring, and there can exist three co-rotating light rings, the innermost of them is stable, the stability of two additional light rings depends on the mass function. Existence of light rings allows to qualify RRBHs and G-lumps as the ultracompact objects. RRBHs can be identified by their shadows. Primordial RRBHs, their remnants and G-lumps present heavy dark matter (DM) candidates with the dark energy interiors. They can form graviatoms binding electrically charged particles. Their specific observational signature is the electromagnetic radiation whose frequency depends on the scale of the de Sitter interior. A nontrivial observational signature, predicted for all DM candidates with the de Sitter interiors of the GUT scale, is the induced proton decay in an underground detector like IceCUBE, due to non-conservation of the baryon and lepton numbers in their false vacuum interiors.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R.J. Adler et al., Gen. Rel. Grav. 33, 2101–2108 (2001). 10.1023/A
D.V. Ahluwalia, I. Dymnikova, v2 (2003), arXiv:hep-ph/0305158
D.V. Ahluwalia, I. Dymnikova, Int. J. Mod. Phys. D 12, 1787–1794 (2003). https://doi.org/10.1142/S0218271803004328
K. Akiyama et al., The Event Horizon Telescope Collaboration, Astrophys. J. Lett. 875, L1 (2019). https://doi.org/10.3847/2041-8213/ab0ec7
S. Ansoldi et al., Phys. Lett. B 645, 261–266 (2007). https://doi.org/10.1016/j.physletb.2006.12.020
R. Aros, Phys. Rev. D 77, 104013 (2008). https://doi.org/10.1103/PhysRevD.77.104013
A. Ayon-Beato, A. Garcia, Phys. Lett. B 493, 5056–5059 (2000). https://doi.org/10.1016/S0370-2693
M. Azreg-Aïnou, Phys. Rev. D 90, 064041 (2014). https://doi.org/10.1103/PhysRevD.90.064041
L. Balart, E.C. Vagenas, Phys. Lett. B 730, 14–17 (2014). https://doi.org/10.1016/j.physletb.2014.01.024
C. Bambi, L. Modesto, Phys. Lett. B 721, 329–334 (2013). https://doi.org/10.1016/j.physletb.2013.03.025
C. Bambi et al., JCAP 05, 003 (2017). https://doi.org/10.1088/1475-7516/2017/05.003
K. Banerjee, S. Ghosh, Phys. Lett. B 688, 224–229 (2010). https://doi.org/10.1016/j.physletb.2010.04.008
L. Bellagamba et al., Europ. Phys. J. C. 72, 1957 (2012)
L. Bergstrom, AIP Conference Proceedings 1241, 49 (2010). https://doi.org/10.1063/1.3462677
W. Berej et al., Gen. Rel. Grav. 38, 885–906 (2006). https://doi.org/10.1007/s10714-006-0270-9
A. Bonanno, M. Reuter, Phys. Rev. D 73 083005 (2006). https://doi.org/10.1103/PhysRevD.73.083005
D. Boyanovski et al., Annu. Rev. Nucl. Part. Sci. 56, 441 (2006). https://doi.org/10.1146/annurev.nucl.56.080805.140539
K.A. Bronnikov et al., Class. Quantum Gravity. 29, 095025-095047 (2012). https://doi.org/10.1088/0264-9381/29/9/095025
K.A. Bronnikov, S.G. Rubin, Black Holes (Singapore, Cosmology and Extra Dimensions; World Scientific, 2013)
A. Ya. Burinskii, Sov. Phys. JETP. 39, 193–217 (1974)
A. Burinskii, Gravit. Cosmol. 8, 261–271 (2002)
A. Burinskii et al., Phys. Rev. D 65, 064039 (2002). https://doi.org/10.1103/PhysRevD.65.064039
A. Burinskii, Gravit. Cosmol. 12, 119–125 (2006). https://doi.org/10.48550/arXiv.gr-qc/0610007
A. Burinskii, J. Phys. Conf. Ser. 532, 012004 (2014). https://doi.org/10.1088/1742-6596/532/1/012004
R.R.Caldwell et al., Phys. Rev. Lett. 80, 1582–1585 (1998). https://doi.org/10.1103/PhysRevLett.80.1582
R.R. Caldwell, Phys. Lett. B 545, 23–29 (2002). https://doi.org/10.1016/S0370-2693(02)02589-3
S. Capozziello et al., Eur. Phys.J. C 69, 293–303 (2010). https://doi.org/10.1140/epjc/s10052-010-1387-2
F. Caravelli, L. Modesto, Class. Quantum Gravity. 27, 245022 (2010). https://doi.org/10.1088/0264-9381/27/24/245022
V. Cardoso et al., Phys. Rev. D 90, 044069 (2014). https://doi.org/10.1103/PhysRevD.90.044069
B.J. Carr et al., Phys. Rev. D 50, 4853–4867 (1994). https://doi.org/10.1103/PhysRevD.50.4853
B.J. Carr, Proc. of 22nd Texas Symp., ECONFCO 41213 v1 (2004) 0204. v1 (2004), arXiv.org/abs/astro-ph/0504034. https://doi.org/10.48550/arXiv.astro-ph/0504034
A. Casanova, E. Spallucci, Class. Quantum Gravity. 23, R45 (2006). https://doi.org/10.1088/0264-9381/23/3/R01
C.-K. Chan et al., Astrophys. J. 799, 1 (2015). https://doi.org/10.1088/0004-637X/799/1/1
S. Chandrasekhar, The Mathematical Theory of Black Holes (Clarendon Press, Oxford, UK, 1983)
T. Chiba, M. Kimura, Progres Theor. Exp. Phys. 2017, 043E01 (2017). https://doi.org/10.1093/ptep/ptx037
J.M. Cohen, J. Math. Phys. 8, 1477–1478 (1967). https://doi.org/10.1063/1.1705382
S. Coleman, New Phenomena in Subnuclear Physics, ed. by A. Zichichi, vol. Part A (New York, Plenum, 1977), pp. 297–421
E.J. Copeland et al., Phys. Rev. D 49, 6410–6433 (1994). https://doi.org/10.1103/PhysRevD.49.6410
V. de la Cruz et al., Phys. Rev. Lett. 24, 423–426 (1970). https://doi.org/10.1103/PhysRevLett.24.423
P.V.P. Cunha et al., Phys. Rev. Lett. 119, 251102 (2017). https://doi.org/10.1103/PhysRevLett.119.251102
P.V.P. Cunha, C.A.R. Herdeiro, Gen. Relativ. Gravit. 50, 42 (2018). https://doi.org/10.1007/s10714-018-2361-9
P.V.P. Cunha, C.A.R. Herdeiro, Phys. Rev. Lett. 124, 181101 (2020). https://doi.org/10.1103/PhysRevLett.124.181101
S. Dimopoulos, G.Landsberg, Phys. Rev. Lett. 87, 161602 (2001). https://doi.org/10.1103/PhysRevLett.87.161602
S.S. Doeleman et al., Nat. 455, 78–80 (2008). https://doi.org/10.1038/nature07245
S.R. Dolan, J.O. Shipley, Phys. Rev. D 94, 044038 (2016). https://doi.org/10.1103/PhysRevD.94.044038
I. Dymnikova, Sov. Phys. Uspekhi. 29, 215–237 (1988). https://doi.org/10.1070/PU1986v029n03ABEH003178
I. Dymnikova, Gen. Relativ. Gravit. 24, 235–242 (1992). doi:0001-7701/9/0300-0235506.50/0
I. Dymnikova, Int. J. Mod. Phys. D. 5(5), 529–540 (1996)
I. Dymnikova, Internal Structure of Black Holes and Spacetime Singularities. ed. by M. Burko, A. Ori, Bristol In-t of Physics Publishing, Bristol, TN, USA; Philadelphia, PA, USA; Annals of the Israel Physical Society 13, 422–440 (1997)
I. Dymnikova, Phys. Lett. B 472, 33–38 (2000). https://doi.org/10.1016/S0370-2693(99)01374-X
I. Dymnikova, Class. Quantum Gravity. 19, 725–739 (2002). https://stacks.iop.org/CQG/19/725
I. Dymnikova, Int. J. Mod. Phys. D 12, 1015–1034 (2003). https://doi.org/10.1142/S021827180300358X
I. Dymnikova, Class. Quantum Gravity. 21, 4417–4428 (2004). https://doi.org/10.1088/1361-6382/21/18/009
I. Dymnikova, Phys. Lett. B 639, 368–372 (2006). https://doi.org/10.1016/j.physletb.2006.06.035
I. Dymnikova, E. Galaktionov, Phys. Lett. B 645, 358–364 (2007). https://doi.org/10.1016/j.physletb.2006.12.047
I. Dymnikova, J. Phys. Math. & Theor. 41, 304033 (2008). https://doi.org/10.1088/1751-8113/41/30/304033
I. Dymnikova, AIP Conference Proceedings 1241, 361 (2010). https://doi.org/10.1063/1.3462656
I. Dymnikova, M. Korpusik, Phys. Lett. B 685, 12 (2010). https://doi.org/10.1016/j.physletb.2010.01.044
I. Dymnikova, E. Galaktionov, Central Europ. J. Phys. 9, 644–653 (2011). https://doi.org/10.2478/s11534-010-0071-3
I. Dymnikova, M. Fil’chenkov, AHEP 2013, 746894 (2013). https://doi.org/10.1155/2013/746894
I. Dymnikova, E. Galaktionov, Class. Quantum Gravity 32, 165015 (2015). https://doi.org/10.1088/0264-9381/32/16/165015
I. Dymnikova, M. Khlopov, Int. J. Mod. Phys. D 24, 1545002 (2015). https://doi.org/10.1142/S0218271815450029
I. Dymnikova, E. Galaktionov, Class. Quantum Gravity. 33, 145010 (2016). https://doi.org/10.1088/0264-9381/33/14/145010
I. Dymnikova, E. Galaktionov, Adv. Math. Phys. 2017, 1035381 (2017). https://doi.org/10.1155/2017/1035381
I. Dymnikova, K. Kraav, Universe. 5, 163 (2019). https://doi.org/10.3390/universe5070163
I. Dymnikova, Symmetry. 12, 12 (2020). https://doi.org/10.3390/sym12040662
I. Dymnikova, Symmetry. 12, 634 (2020). https://doi.org/10.3390/sym12040634
I. Dymnikova, Universe. 6, 179 (2020). https://doi.org/10.3390/universe6100179
I. Dymnikova et al., Universe. 8, 65 (2022). https://doi.org/10.3390/universe8020065
I. Dymnikova, Universe. 8, 305 (2022). https://doi.org/10.3390/universe8060305
A. Eichhorn, A. Held, Eur. Phys. J. C 81, 933 (2021). https://doi.org/10.1140/epjc/s10052-021-09716-2
G.F.R. Ellis, (2013), arXiv:1310.4771
F. Englert, R. Brout, Phys. Rev. Lett. 13, 321 (1964). https://doi.org/10.1103/PhysRevLett.13.321
H. Falcke et al., Astrophys. J. Lett. 528, L13 (2000). https://doi.org/10.1086/312423
V.P. Frolov et al., Phys. Rev. D 41, 383–394 (1990). https://doi.org/10.1103/PhysRevD.41.383
A. Garcia et al., Phys. Rev. Lett. 74, 1276 (1995). https://doi.org/10.1103/PhysRevLett.74.1276
S.G. Ghosh, Eur. Phys. J. C 75, 532 (2015). https://doi.org/10.1140/epjc/s10052-015-3740-y
R. Ghosh, S. Sarkar, Phys. Rev. D 104, 044019 (2021). https://doi.org/10.1103/PhysRevD.104.044019
A. Grenzebach et al., Phys. Rev. D 89, 124004 (2014). https://doi.org/10.1103/PhysRevD.89.124004
A.A. Grib, Yu.V. Pavlov, Mod. Phys. Lett. A 23, 1151–1159 (2008). https://doi.org/10.1142/S0217732308027072
M. Guo, S. Gao, Phys. Rev. D 103, 104031 (2021). https://doi.org/10.1103/PhysRevD.103.104031
G.Ś. Guralnik et al., Phys. Rev. Lett. 13, 585–587 (1964). https://doi.org/10.1103/PhysRevLett.13.585
M. Gürses, F. Gürsey, J. Math. Phys. 16, 2385 (1975). https://doi.org/10.1063/1.522480
V.H. Hamity, Phys. Lett. A. 56, 77–78 (1976)
C.M. Harris et al., JHEP 0505, 053 (2005). https://doi.org/10.1088/1126-6708/2005/05/053
S.W. Hawking, Mon. Not. R. Astron. Soc. 152, 75 (1971). https://doi.org/10.1093/mnras/152.1.75
S.W. Hawking, G.F.R. Ellis, The Large Scale Structure of Space-Time, (Cambridge University Press, 1973)
S.A. Hayward, Phys. Rev. Lett. 96, 031103 (2006). https://doi.org/10.1103/PhysRevLett.96.031103
P.W. Higgs, Phys. Rev. Lett. 13, 508–509 (1964). https://doi.org/10.1103/PhysRevLett.13.508
K. Hioki, K. Maeda, Phys. Rev. D 80, 024042 (2009). https://doi.org/10.1103/PhysRevD.80.024042
S. Hod, Phys. Lett. B 776, 1–4 (2018). https://doi.org/10.1016/j.physletb.2017.11.021
S. Hod, Europ. Phys. J. C 78, 417 (2018). https://doi.org/10.1140/epjc/s10052-018-5905-y
S. Iso et al., Phys. Rev. D 7, 044017 (2006). https://doi.org/10.1103/PhysRevD.74.044017
W. Israel, Phys. Rev. D 2, 641–646 (1970). https://doi.org/10.1103/PhysRevD.2.641
T. Johannsen, Astrophys. J. 777, 170 (2013). https://doi.org/10.1088/0004-637X/777/2/170
O.E. Kalashev et al., Phys. Rev. D 80, 103006 (2009). https://doi.org/10.1103/PhysRevD.80.103006
H. Kawai et al., Int. J. Mod. Phys. A 28, 1350050 (2013). https://doi.org/10.1142/S0217751X13500504
R.P. Kerr, Phys. Rev. Lett. 11, 237–238 (1963). https://doi.org/10.1103/PhysRevLett.11.237
R.P. Kerr, A. Schild, Proceedings of Symposia in Applied Mathematics (Amer. Math. Soc., Providence, R. I.) 17, 199 (1965)
M.Y. Khlopov, Res. Astron. Astrophys. 10, 495 (2010). https://doi.org/10.1088/1674-4527/10/6/001
B. Koch et al., JHEP 0510, 053 (2005). https://doi.org/10.1088/1126-6708/2005/10/053
G. Landsberg, J. Phys. G 32, R337 (2006). https://doi.org/10.1088/0954-3899/32/9/R02
Z. Li, C. Bambi, J. Cosmol. & Astropart. Phys. 2014, 041 (2014). https://doi.org/10.1088/1475-7516/2014/01/041
Y. Ling, M.-H. Wu, (2022), arXiv:2205.08919 [gr-qc] . https://doi.org/10.48550/arXiv.2205.08919
F.S.N. Lobo et al., JCAP 07, 011 (2013). https://doi.org/10.1088/1475-7516/2013/07/011
T. De Lorenzo et al., Gen. Rel. Grav. 48, 31–36 (2016). https://doi.org/10.1007/s10714-016-2026-5
D.H. Lyth, A. Riotto, Phys. Rep. 314, 1 (1999). https://doi.org/10.1016/S0370-1573(98)00128-8
J.H. MacGibbon, Nat. 329, 308–309 (1987). https://doi.org/10.1038/329308a0
A.D. Masa, V.T. Zanchin, (2022), arXiv:2204.08113 [gr-qc]. https://doi.org/10.48550/arXiv.2204.08113
K. Mars et al., Class. Quantum Gravity. 35, 025005 (2018). https://doi.org/10.1088/1361-6382/aa97ff
M. Maziashvili, Phys. Lett. B 635, 232 (2006). https://doi.org/10.1016/j.physletb.2006.03.009
Y. Mizuno et al., Nat. Astron. Lett. 2, 585 (2018). https://doi.org/10.1038/s41550-018-0449-5
L. Modesto, P. Nicolini, Phys. Rev. D 82, 104035 (2010). https://doi.org/10.1103/PhysRevD.82.104035
L. Modesto et al., Phys. Lett. B 695, 397–400 (2011). https://doi.org/10.1016/j.physletb.2010.11.046
G.C. Nayak, Phys. Part. Nucl. Lett. 8, 337 (2011). https://doi.org/10.1134/S1547477111040121
J.C.S. Neves, A. Saa, Phys. Lett. B 734, 44–48 (2014). https://doi.org/10.1016/j.physletb.2014.05.026
E.T. Newman, A.J. Janis, J. Math. Phys. 6, 915–917 (1965). https://doi.org/10.1063/1.1704350
P. Nicolini et al., Phys. Lett. B 632, 547–551 (2006). https://doi.org/10.1016/j.physletb.2005.11.004
K. Nozari, S.H. Mehdipour, Mod. Phys. Lett. A 20, 2937 (2005). https://doi.org/10.1142/S0217732305018050
S. Pameli, D. Ujjal, Europ. Phys. J. C 79, 919 (2019). https://doi.org/10.1140/epjc/s10052-019-7427-7
E. Poisson, W. Israel, Class. Quantum Gravity. 5, L201 (1988). https://doi.org/10.1088/0264-9381/5/12/002
A.G. Polnarev, M.Yu. Khlopov, Sov. Phys. Uspekhi. 28, 213–232 (1985). https://doi.org/10.3367/UFNr.0145.198503a.0369
C. Quigg, Gauge Theories of the Strong, Weak and Electromagnetic Interactions, (Addison-Wesley Publishing Company, Redwood City, CA, US, 1983)
S. Ray et al., Intern. J. Mod. Phys. D 29, 2030004 (2020). https://doi.org/10.1142/S0218271820300049
S.V. Repin et al., (2018), arXiv:1802.04667. https://doi.org/10.48550/arXiv.1802.04667
L. Rezzolla, A. Zhidenko, Phys. Rev. D 90, 084009 (2014). https://doi.org/10.1103/PhysRevD.90.084009
R.G.H. Robertson et al., Phys. Rev. Lett. 67, 957 (1991). https://doi.org/10.1103/PhysRevLett.67.957
F. Scardigli et al., Phys. Rev. D 83(2011), 063507 (2011). https://doi.org/10.1103/PhysRevD.83.063507
J.D. Schnittman, Gen. Rel. Grav. 50, 77 (2018). https://doi.org/10.1007/s10714-018-2373-5
H. Stoecker, Int. J. Mod. Phys. D 16, 185 (2007). https://doi.org/10.1142/S0218271807009930
L. Susskind, J. Math. Phys. 36, 6377 (1995). https://doi.org/10.1063/1.531249
R. Takahashi, Astrophys. J. 611, 996 (2004). https://doi.org/10.1086/422403
S. Takeuchi, Class. Quantum Gravity. 33, 225016 (2016). https://doi.org/10.1088/0264-9381/33/22/225016
Zi.-Yu. Tang, Class. Quantum Gravity. 34 245006 (2017). https://doi.org/10.1088/1361-6382/aa95ff
R. Torres, F. Fayos, (2016), arXiv:1611.03654 [gr-qc]. https://doi.org/10.48550/arXiv.1611.03654
B. Toshmatov et al., Phys. Rev. D 89, 104017 (2014). https://doi.org/10.1103/PhysRevD.89.104017
Z. Younsi et al., Astron. Astrophys. 545, A13 (2012). https://doi.org/10.1051/0004-6361/201219599
Ya. B. Zel’dovich, JETP Lett. 6, 316–317 (1967)
Ya.B. Zeldovich, I.D. Novikov, Sov. Astron. 10, 602 (1967)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Dymnikova, I. (2023). Regular Rotating Black Holes and Solitons with the de Sitter/Phantom Interiors. In: Bambi, C. (eds) Regular Black Holes. Springer Series in Astrophysics and Cosmology. Springer, Singapore. https://doi.org/10.1007/978-981-99-1596-5_1
Download citation
DOI: https://doi.org/10.1007/978-981-99-1596-5_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-1595-8
Online ISBN: 978-981-99-1596-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)