Relationship between magnetic field and anisotropy parameter in gravitation theories

2018 ◽  
Vol 33 (24) ◽  
pp. 1850135 ◽  
Author(s):  
Can Aktaş ◽  
Sezgin Aygün ◽  
Pradyumn Kumar Sahoo
Keyword(s):  
Magnetic Field ◽  
General Relativity ◽  
Dark Energy Model ◽  
Strange Quark ◽  
Anisotropy Parameter ◽  
Strange Quark Matter ◽  
Cosmological Term ◽  
Field Equations ◽  
Constant Deceleration Parameter ◽  
Physical Consequences

The magnetized strange quark matter (MSQM) solutions are obtained for a Marder type universe using constant deceleration parameter. The exact solutions of field equations are obtained for f(R,[Formula: see text]T) = R + 2f(T) model given by [T. Harko et al., Phys. Rev. D 84, 024020 (2011)] with cosmological term. Also, we have obtained General Relativity (GR) solutions for MSQM distributions. For [Formula: see text], we get the dark energy model, i.e. [Formula: see text], [Formula: see text] and [Formula: see text]. However, for [Formula: see text], we find the cosmological constant [Formula: see text] as negative in f(R,[Formula: see text]T) theory and GR. These results agree with [S. Aygün et al., Astrophys. Space Sci. 361, 380 (2016); C. Aktaş and S. Aygün, Chinese J. Phys. 55, 71 (2017); P. K. Sahoo et al., Mod. Phys. Lett. A 32, 1750105 (2017)] in f(R,[Formula: see text]T) theory. The physical consequences of our obtained models are discussed at the end.

HIGHER-DIMENSIONAL COSMOLOGICAL MODELS WITH STRANGE QUARK MATTER

2006 ◽  
Vol 15 (04) ◽  
pp. 477-483 ◽  
Author(s):  
IHSAN YILMAZ ◽  
ATTILA ALTAY YAVUZ
Keyword(s):  
General Relativity ◽  
Quark Gluon Plasma ◽  
Quark Matter ◽  
Strange Quark ◽  
Gluon Plasma ◽  
Strange Quark Matter ◽  
Cosmological Models ◽  
Field Equations ◽  
Higher Dimensional ◽  
Different Types

In this article, we study higher-dimensional cosmological models with quark–gluon plasma in the context of general relativity. For this purpose, we consider quark–gluon plasma as a perfect fluid in the higher-dimensional universes. After solving Einstein's field equations, we have analyzed this matter for the different types of universes in the higher- and four-dimensional universes. Also, we have discussed the features of obtained solutions.

THE BEHAVIOR OF THE STRANGE QUARK MATTER IN THE FRW UNIVERSES

2007 ◽  
Vol 22 (12) ◽  
pp. 2283-2291 ◽  
Author(s):  
IHSAN YILMAZ ◽  
AYSE KUCUKARSLAN ◽  
SERHAT OZDER
Keyword(s):  
General Relativity ◽  
Perfect Fluid ◽  
Quark Gluon Plasma ◽  
Quark Matter ◽  
Strange Quark ◽  
Gluon Plasma ◽  
Strange Quark Matter ◽  
Einstein’S Field Equations ◽  
Field Equations ◽  
Different Types

In this paper, we study strange quark matter for Friedman–Robertson–Walker (FRW) universes in the context of general relativity. For this purpose we consider quark–gluon plasma as a perfect fluid in the FRW universes. After solving Einstein's field equations, we have analyzed this matter for the different types of universe. Also, we discuss the features of collapsing strange quark matter.

RIGIDLY ROTATING STRANGE QUARK STARS

2005 ◽  
Vol 14 (03n04) ◽  
pp. 697-705 ◽  
Author(s):  
İHSAN YILMAZ ◽  
HÜSNÜ BAYSAL
Keyword(s):  
General Relativity ◽  
Electromagnetic Field ◽  
Quark Matter ◽  
Strange Quark ◽  
Fluid Model ◽  
Strange Quark Matter ◽  
Rigid Rotation ◽  
Field Equations ◽  
Quark Stars ◽  
Gödel Universe

In this article, we study rotating strange quark stars in the context of general relativity. For this purpose we consider perfect fluid model composed of strange quark matter with electromagnetic field in the Gödel Universe which has rigid rotation. We solve Einstein's field equations by using equation of state for strange quark matter. Also, we discuss the features of obtained solutions.

scholarly journals KALUZA - KLEIN COSMOLOGICAL MODEL WITH QUARK AND STRANGE QUARK MATTER INF(R,T)GRAVITY

2021 ◽  
Vol 9 (04) ◽  
pp. 264-271
Author(s):  
Samadhan L. Munde ◽  
Keyword(s):  
Cosmological Model ◽  
Quark Matter ◽  
Deceleration Parameter ◽  
Strange Quark ◽  
Space Time ◽  
Strange Quark Matter ◽  
Field Equations ◽  
Constant Deceleration Parameter ◽  
General Solutions ◽  
Kaluza Klein

In this paper,Kaluza-Klein space-time with quark and strange quark matter in gravity has been considered. The general solutions of the field equations of Kaluza-Klein space-time have been obtained under the assumption of constant deceleration parameter. The physical and geometrical aspects of the model are also discussed in details.

Rigid frames in general relativity

1965 ◽  
Vol 283 (1394) ◽  
pp. 343-355 ◽  
Keyword(s):  
General Relativity ◽  
Sufficient Conditions ◽  
Classification Theorem ◽  
Noether Theorem ◽  
Projection Technique ◽  
Field Equations ◽  
Rigid Frame ◽  
Special Cases ◽  
Rigid Frames ◽  
Physical Consequences

Properties of a congruence of time-like curves are investigated, by means of a projection technique due to Cattaneo. Born’s requirement of vanishing spatial rate of strain ensures that the congruence defines a rigid frame. Einstein’s field equations impose further conditions, whose physical consequences are explored. Sufficient conditions are given for the extension of the Herglotz-Noether classification theorem to general relativity. The case is investigated in which the curves of the congruence are the orbits of a group of motions. Validity of the Herglotz-Noether theorem is shown to be associated with the existence of a certain type of motion. Finally, some properties of two important special cases of rigid frames—isometric and irrotational motions—are examined.

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