Whitrow-Randall's relation and Brans-Dicke cosmology

Berman, Marcelo Samuel; Som, M. M.

doi:10.1007/bf00755983

Cited by 29 publications

(13 citation statements)

References 7 publications

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“…One can find interesting technical discussion on this assumption by D.W.Sciama, R.H. Dicke, C. Brans and G. J. Whitrow [11][12][13][14][15][16][17][18].…”

Section: Withmentioning

confidence: 99%

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Quantum Cosmology vs. Observational Cosmology (A Simple, Curious and Advanced Approach)

Seshavatharam¹,

Lakshminarayana

2016

Preprint

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With reference to Planck scale Hubble parameter, super luminal expansion speeds, super luminal rotation speeds, Mach's principle and Holographic principle, we review the current cosmological observations with eight simple assumptions. By understanding Yuri N. Obukhov and V.A. Korotky proposed cosmic rotational effects of polarization of radiation due to massive bodies, to some extent cosmic rotation can be deep-rooted in an observational approach and the ratio of current angular velocity and Hubble parameter can be estimated. It is possible to show that, at H0 =70 km/sec/Mpc, current cosmic temperature, age, radius, mass, mass density are 2.721 K, 4.41x10 17 sec, 90 billion light years, 1.14654x10 54 kg, 0.0482 times the current critical density respectively. Clearly speaking, current universe seems to constitute 267 Hubble spheres. Important point to be noted is that, current rotational kinetic energy is 0.6667 times the current critical energy. Based on the estimated current mass density and current rotational kinetic energy, current cosmic dark matter density can be shown to be 0.2851 times the current critical density. These numerical coincidences cast serious doubt on the on the real existence of currently believed 'dark energy'. Initial and current expansion speeds are 3x10 8 m/sec and 3.56x10 9 m/sec respectively. With increasing cosmic age and increasing cosmic expansion speed, current universe is expanding with a speed of 11.885c. By knowing the time to time future cosmic temperatures, future Hubble parameters and corresponding future cosmic expansion speeds can be estimated and thus future expansion speed can be understood. Starting from 'speed of light', our model assumes a continuous increase in expansion speed and attains a current radius of 90 billion light years (without inflationary concepts) and casts a serious doubt on the actuality of currently believed 'inflation'.

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“…One can find interesting technical discussion on this assumption by D.W.Sciama, R.H. Dicke, C. Brans and G. J. Whitrow [11][12][13][14][15][16][17][18].…”

Section: Withmentioning

confidence: 99%

“…It may be noted that, many scientists are thinking on 'understanding the mass of universe' in terms of 'Mach's principle' i.e "relation between inertia and gravity" [17][18][19][20][21][22][23][24]. In this context, our proposed assumption, 3b can be given some consideration at fundamantal level.…”

Section: Ln(z+1)------------->mentioning

confidence: 99%

Quantum Cosmology vs. Observational Cosmology (A Simple, Curious and Advanced Approach)

Seshavatharam¹,

Lakshminarayana

2016

Preprint

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“…Here, R * is certain reference value such that if R R * , inflationary phase of the evolution of the universe is obtained and for R R * , we have a radiation-dominated phase. Equations (8) and (9) can be written in terms of the Hubble parameter H =Ṙ R , to give, respectively,Ḣ…”

Section: Higher Dimensional Model and Field Equationsmentioning

confidence: 99%

Early Viscous Universe with Variable Cosmological and Gravitational Constants in Higher Dimensional Space Time

et al. 2008

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In this paper we present a number of classes of solutions of the Einstein's field equations with variable G, and bulk viscosity for a Kaluza-Klein type of cosmological model. The solutions are obtained by using γ -law equation of state p = (γ − 1)ρ, where adiabatic parameter γ -varies continuously as the universe expand. A unified description of the early evolution of the universe is discussed with number of possible assumption on the bulk viscous term and gravitational constant in which an inflationary phase followed by radiation-dominated phase. We also investigate the cosmological model with constant and time dependent bulk viscosity along with constant and time dependent gravitational constant. In all cases, the cosmological constant found to be positive and decreasing function of time which supports the results obtained from recent supernovae Ia observations. The important physical behaviour of the early cosmological model has also been discussed in the frame work of higher dimensional space-time.

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“…Gasperini [63,64], Berman [65][66][67], Berman et al [68][69][70], Özer and Taha [40], Freese et al [41,42], Peebles and Ratra [71], Chen and Wu [72], Sattar and Viswakarma [73], Gariel and Le Denmat [74], Pradhan [75,76], Pradhan et al [77][78][79][80][81][82][83][84][85]). Of the special interest is the ansätz ∝ S −2 (where S is the scale factor of the Robertson-Walker metric) by Chen and Wu [72], which has been considered or modified by several authors (Abdel-Rahaman [86,87], Carvalho et al [43], Silveira and Waga [44], Vishwakarma [88]).…”

mentioning

confidence: 93%

Some Exact Bianchi Type-V Perfect Fluid Cosmological Models with Heat Flow and Decaying Vacuum Energy Density Λ: Expressions for Some Observable Quantities

Pradhan¹,

Jotania

2010

Int J Theor Phys

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In this paper we have obtained some new exact solutions of Einstein's field equations in a spatially homogeneous and anisotropic Bianchi type-V space-time with perfect fluid distribution along with heat-conduction and decaying vacuum energy density by applying the variation law for generalized Hubble's parameter that yields a constant value of deceleration parameter. We find that the constant value of deceleration parameter is reasonable for the present day universe. The variation law for Hubble's parameter generates two types of solutions for the average scale factor, one is of power-law type and other is of the exponential form. Using these two forms, Einstein's field equations are solved separately that correspond to expanding singular and non-singular models of the universe respectively. The cosmological constant is found to be a decreasing function of time and positive which is corroborated by results from recent supernovae Ia observations. Expressions for lookback time-redshift, neoclassical tests (proper distance d(z)), luminosity distance red-shift and event horizon are derived and their significance are described in detail. The physical and geometric properties of spatially homogeneous and anisotropic cosmological models are discussed.

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Whitrow-Randall's relation and Brans-Dicke cosmology

Cited by 29 publications

References 7 publications

Quantum Cosmology vs. Observational Cosmology (A Simple, Curious and Advanced Approach)

Quantum Cosmology vs. Observational Cosmology (A Simple, Curious and Advanced Approach)

Early Viscous Universe with Variable Cosmological and Gravitational Constants in Higher Dimensional Space Time

Some Exact Bianchi Type-V Perfect Fluid Cosmological Models with Heat Flow and Decaying Vacuum Energy Density Λ: Expressions for Some Observable Quantities

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