Abstract
We have constructed a five-dimensional Bianchi type-III cosmological model with strange quark matter attached to the string cloud in Barber’s second self-creation theory of gravitation which is inflationary. An exact inflationary string cosmological model is obtained in which the theory leads to the Einstein theory at initial epoch. It is interesting to note that as T gradually increases, the scalar expansion θ and shear scalar σ 2 decrease and finally they vanish when T → ∞. The cosmological parameters have been discussed in detail.
Similar content being viewed by others
References
Adams J (2005) Experimental and theoretical challenges in the search for the quark gluon plasma: the STAR collaboration's critical assessment of the evidence from RHIC collisions. STAR Collab Nucl Phys A 757:102
Adcox K (2005) Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: experimental evaluation by the PHENIX collaboration. PHENIX Collab Nucl Phys A 757:184
Adhav KS, Nimkar AS, Dawande MV (2008) String cloud and domain walls with quark matter in n-dimensional Kaluza-Klein cosmological model. Int J Theor Phys 47:2002
Adhav KS, Nimkar AS, Raut VB, Thakare RS (2009) Strange quark matter attached to string cloud in Bianchi type-III space time. Astrophys Space Sci 319:81
Alcock C, Farhi E, Olinto A (1986) Strange stars. Astron J 310:261
Back BB (2005) The PHOBOS perspective on discoveries at RHIC. PHOBOS Collab Nucl Phys A 757:28
Bali R (1986) Magnetized cosmological model. Int J Theor Phys 25:755
Banerjee A, Sanyal AK, Chakraborty S (1990a) String cosmology in Bianchi I space-time. Pramana J Phys 34:1
Barber GA (1982) On two “self-creation” cosmologies. Gen Rel Grav D 14:117
Barros A, Romero C (1995) Cosmic vacuum strings and domain walls in Brans–Dicke theory of gravity. J Math Phys 36:5800
Barros A, Sen AA, Romero C (2001) Circular cosmic string loop in Brans-Dicke theory. Braz J Phys 31:507
Bodmer AR (1971) Collapsed nuclei. Phys Rev D 4:1601
Brans C (1987) Consistency of field equations in ``Self-Creation'' cosmologies. Gen Relativ Gravit 19:949
Chodos A, Jaffe RL, Johnson K, Thorn CB, Weisskopf VF (1974) New extended model of hadrons. Phys Rev D 9:471
Chodos A, Detweiler S (1980) Where has the fifth dimension gone?. Phy Rev D 21:2167
Gott JR (1985) Southwest regional conference for astronomy and astrophysics. Astrophys J 288:2422
Gundalach C, Ortiz ME (1990) Jordan-Brans-Dicke cosmic strings. Phys Rev D 42:2521
Haensel P, Zdunik JL, Schaeffer R (1986) Strange quark stars. Astron Astrophys 160:121
Itoh N (1970) Hydrostatic equilibrium of hypothetical quark stars. Prog Theor Phys 44:1
Jordon P (1959) Zum gegenwartigen Stand der Diracschen Kosmologischen Hypothesen. Z Phys 157:112
Kaluza T (1921) On the problem of unity in physics. Phys Math Sitz Preuss Acad Wiss K1:966
Katore SD, Shaikh AY (2012) Cosmological model with strange quark matter attached to cosmic string for axially symmetric space-time. Int J Theor Phys 51:1881
Khadekar GS, Wanjari R (2012) Geometry of quark and strange quark matter in higher dimensional general relativity. Int J Theor Phys 51:1408
Klein O (1926) Quantentheorie und fünfdimensionale Relativitätstheorie. Z Phys 37:895
Krori KD, Chandhury T, Mahanta CR, (1990) Some exact solutions in string cosmology. Gen Relativ Gravitation 22:123
Letelier PS, (1983) String cosmologies. Phys Rev D 28:2414
Madsen J (1999) Lectures Notes in Physics, vol 500. Springer, p 162
Mahanta KL, Biswal SK, Sahoo PK, Adhikary MC (2011) String cloud with quark matter in self-creation cosmology. Int J Theor Phys 51:1538–1544
Marciano WJ (1984) Time variation of the fundamental "constants" and Kaluza-Klein theories. Phys Rev Lett 52:489
Mohanty G, Mishra B (2001) Dissipation of general viscous fluid distribution in Einstein and Barber theories. Theor Appl Mech 26:71–81
Mohanty G, Mishra B, Das R (2000) Plane symmetric vacuum and Zeldovich fluid models in self creation theory. Bull Inst Math Aca Sinca(Roc) 28:43
Randall L, Sundrum R (1999) Large mass hierarchy from a small extra dimension. Phys Rev Lett 83:3370
Rao VUM, Neelima D (2013) Axially symmetric space-time with strange quark matter attached to string cloud in self creation theory and general relativity. Int J Theor Phys 52:354
Rao VUM, Neelima D (2014) Cosmological models with strange quark matter attached to string cloud in GR and Brans-Dicke theory of gravitation. Eur Phys J Plus 129:122
Rao VUM, Sireesha KVS (2013) Axially symmetric space-time with strange quark matter attached to string cloud in Brans–Dicke theory of gravitation. Int J Theor Phys 52:1052
Reddy DRK (2005) Plane symmetric cosmic strings in lyra manifold. Astrophys Space Sci 300:381
Sahoo PK, Mishra B (2013a) Axially symmetric space-time with strange quark matter attached to string cloud in Bimetric theory. Int J Pure Appl Math 82:87
Sahoo PK, Mishra B (2013b) String cloud and domain walls with quark matter in kink cosmological model. J Theo Appl Phys 7:1
Stachel J (1980) Thickening the string. I. The string perfect dust. Phys Rev D 21:2171
Sen AA (2000) Non-static local string in Brans–Dicke theory. Pramana J Phys 55:369
Sen AA, Banerjee N, Banerjee A (1997) Static cosmic strings in Brans-Dicke theory. Phys Rev D 53:5508
Sotani H, Kohri K, Harada T (2004) Restricting quark matter models by gravitational wave observation. Phys Rev D 69:084008
Steffens FM, Thomas AW (1995) A study of structure functions for the bag beyond leading order. Prog Theor Phys Suppl 120:145
Thiry Y (1948) Geometrie-les equations de la theorie unitaire de Kaluza. C R Acad Sci (Paris) 226:216
Tikekar R, Patel LK, Dadhich N (1994) A class of cylindrically-symmetric models in string cosmology. Gen Rel Grav 26:647
Vilenkin A (1981) Cosmic strings. Phys Rev D 24:2082
Wesson PS (1992) A physical interpretation of Kaluza-Klein cosmology. Astrophys J 344:19
Witten E (1984) Cosmic separation of phases. Phys Rev D 30:272
Yavuz I, Yilmaz I (1996) Some exact solutions of string cosmology with heat flux in Bianchi type III space-time. Astrophys Space Sci 245:131
Yavuz I, Yilmaz I, Baysal H (2005) Strange quark matter attached to the string cloud in the spherical symmetric space-time admitting conformal motion. Int J Mod Phys D 14:1365
Yilmaz I (2006) String cloud and domain walls with quark matter in 5-D Kaluza–Klein cosmological model. Gen Rel Grav 38:1397
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Biswal, S.K., Adhikary, M.C. A Higher Dimensional Cosmological Model and Quark Confinement. Iran J Sci Technol Trans Sci 41, 1165–1170 (2017). https://doi.org/10.1007/s40995-017-0287-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40995-017-0287-9