References
[1]
Kuzmin V, Rubakov V. Ultra-high energy cosmic rays: A window to post-inflationary reheating epoch of the universe? Phys Atomic Nucl, 1997, 61: 1028–1030.
Google Scholar
http://scholar.google.com/scholar_lookup?title=Kuzmin V, Rubakov V. Ultra-high energy cosmic rays: A window to post-inflationary reheating epoch of the universe? Phys Atomic Nucl, 1997, 61: 1028–1030&
[2]
Berezinsky
V,
Vilenkin
A.
Cosmic necklaces and ultrahigh energy cosmic rays.
Phys Rev Lett,
1997, 79: 5202-5205
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Cosmic necklaces and ultrahigh energy cosmic rays&author=Berezinsky V&author=Vilenkin A&publication_year=1997&journal=Phys Rev Lett&volume=79&pages=5202-5205
[3]
Giudice
G F,
Riotto
A,
Tkachev
I, et al.
Production of massive fermions at preheating and leptogenesis.
J High Energy Phys,
1999, 1999: 014
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Production of massive fermions at preheating and leptogenesis&author=Giudice G F&author=Riotto A&author=Tkachev I&publication_year=1999&journal=J High Energy Phys&volume=1999&pages=014
[4]
Dick
R,
Hopp
K M,
Wunderle
K E.
Superheavy dark matter and ultrahigh-energy cosmic rays.
Can J Phys,
2005, 84: 537-543
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Superheavy dark matter and ultrahigh-energy cosmic rays&author=Dick R&author=Hopp K M&author=Wunderle K E&publication_year=2005&journal=Can J Phys&volume=84&pages=537-543
[5]
Chung
D J H,
Kolb
E W,
Riotto
A.
Nonthermal supermassive dark matter.
Phys Rev Lett,
1998, 81: 4048-4051
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Nonthermal supermassive dark matter&author=Chung D J H&author=Kolb E W&author=Riotto A&publication_year=1998&journal=Phys Rev Lett&volume=81&pages=4048-4051
[6]
Chung
D J H,
Kolb
E W,
Riotto
A.
Production of massive particles during reheating.
Phys Rev D,
1999, 60: 063504
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Production of massive particles during reheating&author=Chung D J H&author=Kolb E W&author=Riotto A&publication_year=1999&journal=Phys Rev D&volume=60&pages=063504
[7]
Berezinsky
V,
Dokuchaev
V,
Eroshenko
Y, et al.
Superdense cosmological dark matter clumps.
Phys Rev D,
2010, 81: 103529
CrossRef
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Superdense cosmological dark matter clumps&author=Berezinsky V&author=Dokuchaev V&author=Eroshenko Y&publication_year=2010&journal=Phys Rev D&volume=81&pages=103529
[8]
Shaposhnikov
M.
Superheavy dark matter and supersymmetry.
New Astron Rev,
2005, 49: 175-179
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Superheavy dark matter and supersymmetry&author=Shaposhnikov M&publication_year=2005&journal=New Astron Rev&volume=49&pages=175-179
[9]
Coleman
S.
Q-balls.
Nucl Phys B,
1985, 262: 263-283
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Q-balls&author=Coleman S&publication_year=1985&journal=Nucl Phys B&volume=262&pages=263-283
[10]
Kusenko
A,
Kuzmin
V,
Shaposhnikov
M, et al.
Experimental signatures of supersymmetric dark-matter Q-balls.
Phys Rev Lett,
1998, 80: 3185-3188
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Experimental signatures of supersymmetric dark-matter Q-balls&author=Kusenko A&author=Kuzmin V&author=Shaposhnikov M&publication_year=1998&journal=Phys Rev Lett&volume=80&pages=3185-3188
[11]
Kusenko
A,
Shaposhnikov
M.
Supersymmetric Q-balls as dark matter.
Phys Lett B,
1998, 418: 46-54
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Supersymmetric Q-balls as dark matter&author=Kusenko A&author=Shaposhnikov M&publication_year=1998&journal=Phys Lett B&volume=418&pages=46-54
[12]
Kasuya
S,
Kawasaki
M.
Baryogenesis from the gauge-mediation type Q-ball and the new type of Q-ball as the dark matter.
Phys Rev D,
2014, 89: 103534
CrossRef
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Baryogenesis from the gauge-mediation type Q-ball and the new type of Q-ball as the dark matter&author=Kasuya S&author=Kawasaki M&publication_year=2014&journal=Phys Rev D&volume=89&pages=103534
[13]
Verbin
Y.
Sigma model Q-balls and Q-stars.
Phys Rev D,
2007, 76: 085018
CrossRef
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Sigma model Q-balls and Q-stars&author=Verbin Y&publication_year=2007&journal=Phys Rev D&volume=76&pages=085018
[14]
Prikas
A.
Domain walls on the surface of Q-stars.
J Math Phys,
2006, 47: 112503
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Domain walls on the surface of Q-stars&author=Prikas A&publication_year=2006&journal=J Math Phys&volume=47&pages=112503
[15]
Kusenko
A,
Mazumdar
A,
Multam?ki
T.
Gravitational waves from the fragmentation of a supersymmetric condensate.
Phys Rev D,
2009, 79: 124034
CrossRef
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Gravitational waves from the fragmentation of a supersymmetric condensate&author=Kusenko A&author=Mazumdar A&author=Multam?ki T&publication_year=2009&journal=Phys Rev D&volume=79&pages=124034
[16]
Chiba
T,
Kamada
K,
Yamaguchi
M.
Gravitational waves from Q-ball formation.
Phys Rev D,
2010, 81: 083503
CrossRef
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Gravitational waves from Q-ball formation&author=Chiba T&author=Kamada K&author=Yamaguchi M&publication_year=2010&journal=Phys Rev D&volume=81&pages=083503
[17]
Bakari
D,
Dekhissi
H,
Derkaoui
J, et al.
Energy losses of Q-balls.
Astroparticle Phys,
2001, 15: 137-147
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Energy losses of Q-balls&author=Bakari D&author=Dekhissi H&author=Derkaoui J&publication_year=2001&journal=Astroparticle Phys&volume=15&pages=137-147
[18]
Clark
S S.
Particle creation from Q-balls.
Nucl Phys B,
2006, 756: 38-70
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Particle creation from Q-balls&author=Clark S S&publication_year=2006&journal=Nucl Phys B&volume=756&pages=38-70
[19]
Ouchrif
M.
Q-balls in underground experiments.
Nucl Phys B-Proc Suppl,
2000, 85: 231-237
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Q-balls in underground experiments&author=Ouchrif M&publication_year=2000&journal=Nucl Phys B-Proc Suppl&volume=85&pages=231-237
[20]
Coleman
S,
Glashow
S L.
High-energy tests of Lorentz invariance.
Phys Rev D,
1999, 59: 116008
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=High-energy tests of Lorentz invariance&author=Coleman S&author=Glashow S L&publication_year=1999&journal=Phys Rev D&volume=59&pages=116008
[21]
Amelino-Camelia
G,
Majid
S.
Waves on noncommutative space-time and gamma-ray bursts.
Int J Mod Phys A,
2000, 15: 4301-4323
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Waves on noncommutative space-time and gamma-ray bursts&author=Amelino-Camelia G&author=Majid S&publication_year=2000&journal=Int J Mod Phys A&volume=15&pages=4301-4323
[22]
Kersting
N,
Yan
J.
Elimination of IR/UV via gravity in noncommutative field theory.
Mod Phys Lett A,
2008, 23: 3341-3348
CrossRef
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Elimination of IR/UV via gravity in noncommutative field theory&author=Kersting N&author=Yan J&publication_year=2008&journal=Mod Phys Lett A&volume=23&pages=3341-3348
[23]
Rovelli C. Quantum Gravity. Cambridge: Cambridge University Press, 2004. 315–319.
Google Scholar
http://scholar.google.com/scholar_lookup?title=Rovelli C. Quantum Gravity. Cambridge: Cambridge University Press, 2004. 315–319&
[24]
Blas
D,
Ivanov
M M,
Sibiryakov
S.
Testing Lorentz invariance of dark matter.
J Cosmol Astropart Phys,
2012, 2012: 057
CrossRef
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Testing Lorentz invariance of dark matter&author=Blas D&author=Ivanov M M&author=Sibiryakov S&publication_year=2012&journal=J Cosmol Astropart Phys&volume=2012&pages=057
[25]
Berezhiani
Z,
Nesti
F,
Pilo
L, et al.
Gravity modification with Yukawa-type potential: Dark matter and mirror gravity.
J High Energy Phys,
2009, 2009: 083
CrossRef
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Gravity modification with Yukawa-type potential: Dark matter and mirror gravity&author=Berezhiani Z&author=Nesti F&author=Pilo L&publication_year=2009&journal=J High Energy Phys&volume=2009&pages=083
[26]
Berezhiani
Z,
Pilo
L,
Rossi
N.
Mirror matter, mirror gravity and galactic rotational curves.
Eur Phys J C,
2010, 70: 305-316
CrossRef
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Mirror matter, mirror gravity and galactic rotational curves&author=Berezhiani Z&author=Pilo L&author=Rossi N&publication_year=2010&journal=Eur Phys J C&volume=70&pages=305-316
[27]
Lunardini
C,
Razzaque
S.
High energy neutrinos from the Fermi bubbles.
Phys Rev Lett,
2012, 108: 221102
CrossRef
PubMed
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=High energy neutrinos from the Fermi bubbles&author=Lunardini C&author=Razzaque S&publication_year=2012&journal=Phys Rev Lett&volume=108&pages=221102
[28]
Svidzinsky
A A.
Oscillating axion bubbles as an alternative to supermassive black holes at galactic centers.
J Cosmol Astropart Phys,
2007, 2007: 018
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Oscillating axion bubbles as an alternative to supermassive black holes at galactic centers&author=Svidzinsky A A&publication_year=2007&journal=J Cosmol Astropart Phys&volume=2007&pages=018
[29]
Moore
G D,
Nelson
A E.
Lower bound on the propagation speed of gravity from gravitational Cherenkov radiation.
J High Energy Phys,
2001, 2001: 023
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Lower bound on the propagation speed of gravity from gravitational Cherenkov radiation&author=Moore G D&author=Nelson A E&publication_year=2001&journal=J High Energy Phys&volume=2001&pages=023
[30]
Ellis
J,
Mavromatos
N E,
Nanopoulos
D V.
Noncritical Liouville string escapes constraints on generic models of quantum gravity.
Phys Rev D,
2002, 65: 064007
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Noncritical Liouville string escapes constraints on generic models of quantum gravity&author=Ellis J&author=Mavromatos N E&author=Nanopoulos D V&publication_year=2002&journal=Phys Rev D&volume=65&pages=064007
[31]
Ellis
J,
Mavromatos
N E,
Nanopoulos
D V, et al.
Quantum-gravity analysis of gamma-ray bursts using wavelets.
Astron Astrophys,
2003, 402: 409-424
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Quantum-gravity analysis of gamma-ray bursts using wavelets&author=Ellis J&author=Mavromatos N E&author=Nanopoulos D V&publication_year=2003&journal=Astron Astrophys&volume=402&pages=409-424
[32]
Amelino-Camelia
G.
Quantum-spacetime phenomenology.
Living Rev Relativ,
2013, 16: 5
CrossRef
PubMed
ADS
arXiv
Google Scholar
http://scholar.google.com/scholar_lookup?title=Quantum-spacetime phenomenology&author=Amelino-Camelia G&publication_year=2013&journal=Living Rev Relativ&volume=16&pages=5
[33]
Cognola
G,
Elizalde
E,
Kirsten
K.
Casimir energies for spherically symmetric cavities.
J Phys A-Math Gen,
2001, 34: 7311-7327
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Casimir energies for spherically symmetric cavities&author=Cognola G&author=Elizalde E&author=Kirsten K&publication_year=2001&journal=J Phys A-Math Gen&volume=34&pages=7311-7327
[34]
Setare
M R,
Mansouri
R.
Casimir effect for a spherical shell in de Sitter space.
Class Quantum Grav,
2001, 18: 2331-2338
CrossRef
ADS
Google Scholar
http://scholar.google.com/scholar_lookup?title=Casimir effect for a spherical shell in de Sitter space&author=Setare M R&author=Mansouri R&publication_year=2001&journal=Class Quantum Grav&volume=18&pages=2331-2338
[35]
Yan J. Study of energy stability and perturbation in the Q-ball solutions of Klein-Gordon equation (in Chinese). Acta Phys Sin, 2013, 62: 230301 [颜骏. Klein-Gordon方程Q-球解中的能量稳定性与扰动研究. 物理学报, 2013, 62: 230301].
Google Scholar
http://scholar.google.com/scholar_lookup?title=Yan J. Study of energy stability and perturbation in the Q-ball solutions of Klein-Gordon equation (in Chinese). Acta Phys Sin, 2013, 62: 230301 [颜骏. Klein-Gordon方程Q-球解中的能量稳定性与扰动研究. 物理学报, 2013, 62: 230301]&