Trenčevski, Kostadin; Celakoska, Emilija Complex equations of motion for a body under gravitational influence by using a nine-parameter space-time bundle with the structural group \(SO(3,\mathbb C)\). (English) Zbl 1394.83007 Ann. Phys. 395, 15-25 (2018). MSC: 83C10 83E15 PDFBibTeX XMLCite \textit{K. Trenčevski} and \textit{E. Celakoska}, Ann. Phys. 395, 15--25 (2018; Zbl 1394.83007) Full Text: DOI
Trenčevski, K.; Celakoska, E. G. Representation of geodesics near the Schwarzschild radius. (English) Zbl 1321.83032 Gravit. Cosmol. 21, No. 1, 93-103 (2015). MSC: 83C57 83C10 83C75 PDFBibTeX XMLCite \textit{K. Trenčevski} and \textit{E. G. Celakoska}, Gravit. Cosmol. 21, No. 1, 93--103 (2015; Zbl 1321.83032) Full Text: DOI
Trenčevski, Kostadin Magnetic fields of the spinning bodies. (English) Zbl 1317.86018 Int. J. Geom. Methods Mod. Phys. 12, No. 4, Article ID 1550046, 9 p. (2015). MSC: 86A25 83C50 PDFBibTeX XMLCite \textit{K. Trenčevski}, Int. J. Geom. Methods Mod. Phys. 12, No. 4, Article ID 1550046, 9 p. (2015; Zbl 1317.86018) Full Text: DOI
Trenčevski, Kostadin; Celakoska, Emilija Equations of motion for two-body problem according to an observer inside the gravitational field. (English) Zbl 1266.53025 J. Dyn. Syst. Geom. Theor. 9, No. 2, 115-135 (2011). MSC: 53B50 53B15 83D05 70F25 70F15 PDFBibTeX XMLCite \textit{K. Trenčevski} and \textit{E. Celakoska}, J. Dyn. Syst. Geom. Theor. 9, No. 2, 115--135 (2011; Zbl 1266.53025) Full Text: DOI arXiv
Trenčevski, Kostadin Representation of the Lorentz transformations in 6-dimensional space-time. (English) Zbl 1265.83003 Kragujevac J. Math. 35, No. 2, 327-340 (2011). MSC: 83A05 83F05 PDFBibTeX XMLCite \textit{K. Trenčevski}, Kragujevac J. Math. 35, No. 2, 327--340 (2011; Zbl 1265.83003)
Trenčevski, Kostadin Special relativity based on the SO\((3,C)\) structural group and 3-dimensional time. (English) Zbl 1234.83006 Math. Balk., New Ser. 25, No. 1-2, 193-201 (2011). MSC: 83A05 22E10 PDFBibTeX XMLCite \textit{K. Trenčevski}, Math. Balk., New Ser. 25, No. 1--2, 193--201 (2011; Zbl 1234.83006)
Trenčevski, Kostadin; Celakoska, Emilija G.; Balan, Vladimir Research of gravitation in flat Minkowski space. (English) Zbl 1211.83027 Int. J. Theor. Phys. 50, No. 1, 1-26 (2011). MSC: 83D05 83A05 83C05 83C10 70H40 83C40 PDFBibTeX XMLCite \textit{K. Trenčevski} et al., Int. J. Theor. Phys. 50, No. 1, 1--26 (2011; Zbl 1211.83027) Full Text: DOI arXiv
Trenčevski, Kostadin Duality in the special relativity based on the isomorphic structural groups \(SO(3,\mathbb{C})\) and \(O^\uparrow_+(1,3)\). (English) Zbl 1248.53060 Tensor, New Ser. 72, No. 1, 32-46 (2010). MSC: 53C80 53C50 83C10 PDFBibTeX XMLCite \textit{K. Trenčevski}, Tensor, New Ser. 72, No. 1, 32--46 (2010; Zbl 1248.53060)
Trenčevski, Kostadin; Celakoska, Emilija G. On the equations of motion in Minkowski space. (English) Zbl 1159.83306 Balan, Vladimir (ed.), Proceedings of the international conference “Differential geometry–dynamical systems” (DGDS-2007), Bucharest, Romania, October 5–7, 2007. Bucharest: Geometry Balkan Press. BSG Proceedings 15, 211-220 (2008). MSC: 83A05 53A45 83C10 PDFBibTeX XMLCite \textit{K. Trenčevski} and \textit{E. G. Celakoska}, BSG Proc. 15, 211--220 (2008; Zbl 1159.83306)
Celakoska, Emilija G.; Trenčevski, Kostadin Transition between relativistic 4-velocities using a tensor. (English) Zbl 1137.83307 Int. J. Pure Appl. Math. 41, No. 8, 1143-1152 (2007). MSC: 83A05 53A45 PDFBibTeX XMLCite \textit{E. G. Celakoska} and \textit{K. Trenčevski}, Int. J. Pure Appl. Math. 41, No. 8, 1143--1152 (2007; Zbl 1137.83307)
Trenčevski, Kostadin Violation of the strong equivalence principle. (English) Zbl 1274.83124 Bokan, Neda (ed.) et al., Proceedings of the conference on contemporary geometry and related topics, Belgrade, Serbia and Montenegro, June 26–July 2, 2005. Belgrade: University of Belgrade, Faculty of Mathematics (ISBN 86-7589-059-1/hbk). 497-511 (2006). MSC: 83D05 PDFBibTeX XMLCite \textit{K. Trenčevski}, in: Proceedings of the conference on contemporary geometry and related topics, Belgrade, Serbia and Montenegro, June 26--July 2, 2005. Belgrade: University of Belgrade, Faculty of Mathematics. 497--511 (2006; Zbl 1274.83124)
Trenčevski, Kostadin; Celakoska, Emilija G.; Balan, Vladimir On a parameterization of the Poincaré group. (English) Zbl 1109.83004 Int. J. Pure Appl. Math. 30, No. 1, 109-117 (2006). Reviewer: Trandafir Balan (Craiova) MSC: 83A05 15A04 15A72 83-08 PDFBibTeX XMLCite \textit{K. Trenčevski} et al., Int. J. Pure Appl. Math. 30, No. 1, 109--117 (2006; Zbl 1109.83004)
Trenčevski, K.; Balan, V. Shrinking of rotational configurations and associated inertial forces. (English) Zbl 1087.83501 J. Calcutta Math. Soc. 1, No. 3-4, 165-180 (2005). MSC: 83A05 83B05 PDFBibTeX XMLCite \textit{K. Trenčevski} and \textit{V. Balan}, J. Calcutta Math. Soc. 1, No. 3--4, 165--180 (2005; Zbl 1087.83501)
Trenčevski, Kostadin Time dependent gravitational potential in the universe and some consequences. (English) Zbl 1077.83527 Gen. Relativ. Gravitation 37, No. 3, 507-519 (2005). MSC: 83F05 83D05 PDFBibTeX XMLCite \textit{K. Trenčevski}, Gen. Relativ. Gravitation 37, No. 3, 507--519 (2005; Zbl 1077.83527) Full Text: DOI arXiv
Trenčevski, Kostadin One model of gravitation and mechanics. (English) Zbl 0844.53069 Tensor, New Ser. 53, 70-82 (1993). MSC: 53Z05 83D05 PDFBibTeX XMLCite \textit{K. Trenčevski}, Tensor, New Ser. 53, 70--82 (1993; Zbl 0844.53069)