TY - JOUR TT - F(R,T) GRAVİTEDE MAKASLAMASIZ MÜKEMMEL AKIŞKAN İDDİASINA İKİNCİ BİR KARŞIT ÖRNEK AU - Sofuoğlu, Değer PY - 2016 DA - September JF - Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi JO - DEUFMD PB - Dokuz Eylül Üniversitesi WT - DergiPark SN - 1302-9304 SP - 317 EP - 332 VL - 18 IS - 54 KW - Rotation KW - Expansion KW - Shear-free KW - Perfect fluid KW - Bianchi type-II Model KW - Bianchi Type-V Model N2 - Bu çalışmada, değiştirilmiş gravitasyon teorilerinde makaslamasız mükemmel akışkan iddiasına ikinci bir karşıt-örnek bulmak ve benzer çözümlerin f(R,T) gravitede tüm Bianchi tip metrikler için geçerli olup olmadığını incelemek amacıyla, f(R,T) gravitasyon teorisi çerçevesinde, uzayca homojen, eşyönsüz, makaslamasız, dönen ve genişleyen Bianchi tip-II ve V modelleri göz önüne alınmıştır. Bianchi tip-II modeli için kesin bir çözüm elde edilmiş, f(R,T) fonksiyonunun fonksiyonel formu inşa edilmiş ve böyle bir evrenin madde-enerji içeriğinin katı akışkan olduğu gösterilmiştir. Makaslamasız bir mükemmel akışkanla dolu Bianchi tip-V modelinin ise, aynı anda hem dönme ve hem de genişlemeye sahip olamayacağı gösterilmiştir CR - Gödel K. Rotating Universes in General Relativity Theory, Proceedings of the International Congress of Mathematicians, cilt.1, 1950, s.175-181; (yeniden basım: General Relativity and Gravitation, cilt.32, 2000, s.1419). CR - Ellis, GFR. Dynamics of Pressure-Free Matter in General Relativity, Journal of Mathematical Physics, Cilt.8, 1967, s.1171-1180. CR - Schücking E. Homogene Scherungsfreie Weltmodelle in der Relativistischen Kosmologie, Naturwiss, cilt.19, 1957, s.507. CR - Banerji S. Homogeneous Cosmological Models without Shear, Progress of Theoretical Physics, cilt.39, 1968, s.365-371. CR - Treciokas R, Ellis GFR. The Shear Dynamics, Communications in Mathematical Physics, cilt.23, 1971, s.1-17. CR - King AR, ELLIS GFR. Tilted Homogeneous Cosmological Models, Communications in Mathematical Physics, 1973, cilt.31, s.209-220. CR - White AJ. Collins CB., A Class of Shear-free Perfect Fluids in General Relativity I, CR - Journal of Mathematical Physics, cilt.25, 1984, s.332-337. CR - Collins CB. Shear‐free Perfect Fluids with Zero Magnetic Weyl Tensor, Journal of Mathematical Physics, cilt.25, 1984, 995-1000. CR - Carminati J. Shear-free perfect fluids in general relativity. I. Petrov type N Weyl tensor, Journal of Mathematical Physics, cilt.28, 1987, s.1848-1853. CR - Carminati J. Type N, Shear-free, Perfect Fluid Space-times with a Barotropic Equation of State, General Relativity and Gravitation, cilt.20, 1988, s.1239-1248. CR - Carminati J. Shear-free Perfect Fluids in General Relativity. II. Aligned, Petrov Type III Space-times, Journal of Mathematical Physics, cilt.31, 1990, 2434-2440. CR - Senovilla JMM, Sopuerta CF, Szekeres P. Theorems on Shear-free Perfect Fluids with Their Newtonian Analogues, General Relativity and Gravitation, cilt.30, 1998, s.389- 411. CR - Sopuerta CF. Covariant Study of a Conjecture on Shear-free Barotropic Perfect Fluids, Classical and Quantum Gravity, cilt.15, 1998, s.1043-1062. CR - Van den Bergh N. The Shear-free Perfect Fluid Conjecture, Classical and Quantum Gravity, cilt.16, 1999, s.1-13. CR - Van den Bergh N, Carminati J, Karimian HR. Shearfree Perfect Fluids with Solenoidal Magnetic Curvature and a Gamma-law Equation of State, Classical and Quantum Gravity, cilt.24, 2007, s.3735-3744. CR - Carminati J. Karimian HR, Van den Bergh N, Vu KT. Shear-free Perfect Fluids with a Solenoidal Magnetic Curvature, Classical and Quantum Gravity, cilt.26, 2009, 195002. CR - Herrera L, Di Prisco A, Ospino J. On the Stability of the Shear-free Condition, General Relativity and Gravitation, cilt.42, 2010, s.1585-1599. CR - Herrera L, Di Prisco A, Ospino J. Shear-free Axially Symmetric Dissipative Fluids, Physical Review D, cilt.89, 2014, s.127502. CR - Slobodeanu R. Shear-free Perfect Fluids with Linear Equation of State, Classical and Quantum Gravity, cilt.31, 2014, s.125012. CR - Van den Bergh N, Slobodeanu R. Shear-free Perfect Fluids with a Barotropic Equation of State in General Relativity: the Present Status, arXiv, [http://arxiv.org/abs/1510.05798], 2015, Erişim Tarihi: 25.10.2015. CR - Narlikar JV. Newtonian Universes with Shear and Rotation, Monthly Notices of the Royal Astronomical Society cilt.126, 1963, s.203. CR - Heckmann O, Schücking E. Handbuch der Physik LIII (ed) Flügge S. Berlin: Springer, 1959, s.489. CR - Sofuoğlu D, Mutuş H. Investigations of f(R)-Gravity Counterparts of the General Relativistic Shear-free Conjecture by Illustrative Examples, General Relativity and Gravitation, cilt.46, 2014, s.1-25. CR - Sofuoğlu D. Rotating and Expanding Bianchi Type-IX Model in f(R,T) Theory of Gravity, Astrophysics and Space Science, cilt.361, 2016, s.1-7. CR - Harko T, Lobo FSN, Nojiri S, Odintsov SD. f(R,T) Gravity, Physical Review D, cilt.84, 2011, s.024020. CR - Ellis GFR, Van Elst H. Cosmological Models (Cargese Lectures 1998), arXiv, [http://arxiv.org/abs/gr-qc/9812046], 1998, Erişim Tarihi: 17.11.2004. CR - Van Elst H, Uggla C. General Relativistic 1+3 Orthonormal Frame Approach, Classical and Quantum Gravity, cilt.14, 1997, s.2673-2695. CR - MacCallum MAH. “Anisotropic and Inhomogeneous Relativistic Cosmologies” in: General Relativity An Einstein Centenary Survey, (Ed.) Hawking SW, Israel W., Cambridge: Cambridge University Press, 1979, s.179-236 (Tablo 11.2, s.194). UR - https://dergipark.org.tr/tr/pub/deumffmd/issue//491921 L1 - https://dergipark.org.tr/tr/download/article-file/587977 ER -