Higher dimensional homogeneous cosmology in Lyra geometry

Rahaman, Farook; Das, Sudipta; Begum, Naheed; Hossain, Md. Wali

doi:10.1007/bf02704519

Cited by 32 publications

(19 citation statements)

References 17 publications

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“…The study of cosmological models in the frame work of scalar -tensor theories has been the active area of research for the last few decades. Singh and Rai (1983) gives a detailed discussion of Brans-Dicke cosmological models while Bera (2001, 2002), , Soleng (1987), Reddy and Venkateswarlu (1987), and Rahaman et al (2003) are some of the authors who have investigated several aspects of cosmology with in the frame work of Lyra (1951) geometry. Singh and Agrawal (1991), Shri Ram and Singh (1995), Shri Ram and Tiwari (1998) and Reddy and Rao (2001) have studied Saez-Ballester scalar -tensor theory with special reference to cosmological models.…”

Section: Introductionmentioning

confidence: 99%

A Cosmological Model with Negative Constant Deceleration Parameter in a Scalar-Tensor Theory

Reddy

Rao

2006

Astrophys Space Sci

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Section: Introductionmentioning

confidence: 99%

A Cosmological Model with Negative Constant Deceleration Parameter in a Scalar-Tensor Theory

Reddy

Rao

2006

Astrophys Space Sci

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“…This fact has attracted many researchers to investigate the problems in the field of higher dimensions. Appelquist et .al [21], Rahaman et.al [22] studied higher dimensional spherically symmetric perfect fluid model in Lyra geometry, Khadekar et.al [23] constructed five dimensional FRW cosmological model with quark and strange quark matter. Five dimensional Bianchi type-I string cosmological model in Lyra manifold have been investigated by Samanta et.al [24].Recently Katore et.…”

Section: Introductionmentioning

confidence: 99%

Zel’dovich Cosmological Model in Lyra Manifold

Mete¹

2017

AdAp

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Abstract. This paper deals with the study of five dimensional non -static plane symmetric cosmological model within the framework of Lyra's manifold when the source of the gravitational field is perfect fluid with pressure equal to energy density. The cosmological solutions have been analyzed through various physical and geometrical properties.Keywords: Plane symmetry, higher dimension, Lyra geometry. IntroductionAfter the formulation of general relativity (GR) by Einstein, many alternative geometric theories have been developed in order to explain gravitation phenomena. Inspired by geometrizing gravitation, Weyl [1] proposed a more general theory in which both gravitation and electromagnetism are described geometrically. For a long time, Weyl's theory was not taken seriously due to non-integrability of length of vector under parallel displacement.Lyra [2] proposed a new modification of Riemannian geometry by introducing a gauge function which removes the non-integrability condition of the length of a vector under parallel transport. This modified Riemannian geometry is known as Lyra's geometry.In consecutive investigations, Sen [3] and Sen and Dunn [4] proposed a new scalar tensor theory of gravitation and constructed an analog of Einstein's field equations based on Lyra's geometry which in normal gauge may be written as ϕ ϕ ϕ ϕ πwhere ϕ i is a displacement field and the other symbols have their usual meaning as in Riemannian geometry. According to Halford [5], the present theory predicts the same effects within observational limits, as far as the classical solar system tests are concerned. Soleng [6] has pointed out that the constant displacement field in Lyra's geometry will either include a creation field and be equal to Hoyle's creation field cosmology or contain a special vacuum field which together with the gauge vector term may be considered as a cosmological term.Several authors [7][8][9][10][11][12][13][14][15][16] have investigated various aspects of cosmological models in scalar tensor theory and cosmology within the framework of Lyra's geometry. In general relativity a non-static plane symmetric Zel'dovich universe has been obtained by Reddy and Innaiah [17]. Pradhan et.al [18] studied LRS Bianchi-I cosmological models , Singh [19] obtained a new exact solutions for local cosmic string in Lyra manifold.The unification of gravitational forces with other forces in nature is not possible in the usual four dimensional space times. Hence higher dimensional theory might be useful at early stages of the evolution of the universe. In fact, as time evolves, the standard dimensions expand while the extra dimensions shrink to the planckian dimension , which is beyond our ability to detect with the currently available experimental facilities Chatterjee et. al [20]. This fact has attracted many researchers to investigate the problems in the field of higher dimensions. Appelquist et .al [21], Rahaman et.al [22] studied higher dimensional spherically symmetric perfect fluid model in Lyra geometry, Khadekar et.al [...

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“…Massive string cosmology has been investigated by Rahaman et al in Lyra geometry for 5-D space-time model [22]. Rahaman et al have obtained exact results for FRW metric in higher dimension Lyra geometry [23]. Katore et al [24] have researched Bianchi I universe with mesonic stiff fluid models in Lyra's manifold.…”

Section: Introductionmentioning

confidence: 99%

Higher Dimensional Topological Defect Solutions with Quark Matter in Gravitation Theories

Çag̃lar¹,

Aygün²

2017

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In this paper we have researched higher dimensional flat Friedmann-Robertson-Walker (FRW) cosmological model solutions for string cloud and domain walls coupled with quark and strange quark matters in Lyra and Riemann geometries. We have obtained that string tension density is zero in Lyra and Riemann geometries. Also, the displacement field vector behaves like a cosmological constant in our models. In addition to these, some physical and kinematical quantities have been generalized and discussed in Lyra and Riemann geometries. Also our results are consistent with the results of Yılmaz, Back et al. and Adcox et al. in four dimensions.

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Higher dimensional homogeneous cosmology in Lyra geometry

Cited by 32 publications

References 17 publications

A Cosmological Model with Negative Constant Deceleration Parameter in a Scalar-Tensor Theory

A Cosmological Model with Negative Constant Deceleration Parameter in a Scalar-Tensor Theory

Zel’dovich Cosmological Model in Lyra Manifold

Higher Dimensional Topological Defect Solutions with Quark Matter in Gravitation Theories

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