W2-FLAT SPACETIME IN FRW COSMOLOGICAL MODEL

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Prof U C De

Abstract

The object of the present paper is to investigateW2- at spacetime in the framework of FRWmodel. In this regard we have considered perfect fluid as a source of matter distribution of the universe. We have solved Einstein's field equations with variable cosmological term using special variational law = 3H2, where is a constant and H is the Hubble's parameter. Moreover, we have described a cosmological scenario of the universe with these solutions and shown that this model is in accordance with the recent day observations.

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Prof U C De. W2-FLAT SPACETIME IN FRW COSMOLOGICAL MODEL. J. Int. Acad. Phys. Sci. [Internet]. 2022 Sep. 15 [cited 2024 May 18];26(3):211-23. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/949
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References

G. P. Pokhariyal and R. S. Mishra, The curvature tensor and their relativistic significance, Yokohama Math. J., 18 (1970), 105-108.

G. P. Pokhariyal and R. S. Mishra, Curvature tensor and their relativistic significance II, Yokohama Math. J., 19 (1971), 97-103.

G. P. Pokhariyal, Curvature tensor and their relativistic significance III, Yokohama Math. J., 20 (1972), 115-119.

U. C. De and A. Sarkar, On a type of P-Sasakian manifolds, Math. Reports, 11(61) (2009), 139-144.

K. Matsumoto, S. Ianus and I. Mihai, On P-Sasakian manifolds which admit certain tensor fields, Publ. Math. Debrecen, 33 (1986), 61-65.

G. P. Pokhariyal, Relative significance of curvature tensors, Int. J. Math. and Math. Sci., 5 (1982), 133-139.

G. P. Pokhariyal, Curvature tensors on A-Einstein Sasakian manifolds, Balkan J. Geom. Appl., 6 (2001), 45-50.

A. Taleshian and A. A. Hosseinzadeh, On W2− curvature tensor of N(k)-quasi-Einstein manifolds, The J. Math. and Computer Science, 1(1) (2010), 28-32.

F. O¨zen Zengin, On Riemannian manifolds admitting W2−curvature tensor, Miskolc Mathematical Notes, 12 (2011), 289-296.

A. Yildiz and U. C. De, On a type of Kenmotsu manifolds, Diff. Geom. Dynamical Systems, 12 (2010), 289-298.

R. Kumar and S. K. Srivastava, FRW-Cosmological Model for Conharmonically Flat Space Time, Int. J. Theor. Phys., 52 (2013), 589-595.

H. K. Mohajan, Friedmann-Robertson-Walker(FRW) Models in Cosmology, J. Enviro. Treat. Tech., 1 (2013), 158-164.

A. Pradhan, J. P. Shahi and C. B. Singh, Cosmological Models of Universe with variable deceleration parameter in Lyra’s Manifold, Brazilian J. Phys., 36 (2006), 1227-1231.

S. K. Tripathi and R. K. Dubey, FRW Cosmological Model of the Universe and deceleration parameter, Indian J. Sci. Res., 2 (2011), 95-98.

P. Wang and X. H. Meng, Can vacuum decay in our Universe? Class Quantum Gravity, 22 (2005), 283.

S. Ray et al., Scenario of Inflationary Cosmology from the Phenomenological Λ Models, Int. J. Theor. Phys., 48 (2009), 2499.

J. P. Singh, A. Pradhan and A. K. Singh, Bianchi type-I cosmological models with variable G and Λ-term in general relativity, Astrophys. Space Sci., 314 (2008), 83.

M. Jamil and U. Debnath, FRW Cosmology with Variable G and Λ, Int. J. Theor. Phys., 50 (2011), 1602-1613.

D. R. K. Reddy and R. L. Naidu, Five dimensional string cosmological models in a scalar-tensor theory of gravitation, Astrophys. Space Sci., 307 (2007), 395.

V. Sahni, A. Shafieloo and A. A. Starobinsky, Is cosmic acceleration slowing down? Phys. Rev. D, 80 (2009), 101301.

U. Alam et al, R. Mon. Not., Exploring the expanding Universe and dark energy using the statefinder diagnostic, Astron. Soc., 344 (2003), 1057.

M. Visser, Jerk, snap and the cosmological equation of state, Class. Quantum Gravity, 21 (2004), 2603.

M. Visser, Cosmography: Cosmology without the Einstein equations, Gen. Relativ. Gravit., 37 (2005), 1541.

D. Rapetti et al., R. Mon. Not., A kinematical approach to dark energy studies, Astron. Soc., 375 (2007), 1510-1520.

N. J. Poplawski, Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity, Class Quantum Gravity, 23 (2006), 2011.

V. Sahni, A. Shafieloo and A. A. Starobinsky, Two new diagnostics of dark energy, Phys. Rev. D, 78 (2008), 103502.

M. Shahalam, S. Sami and A. Agarwal, Om diagnostic applied to scalar field models and slowing down of cosmic acceleration, Mon. Not. R. Astron. Soc., 448 (2015), 2948-2959.