Inertia in Friedmann Universes with variable \(G\) and \(\varLambda\)

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• 作者：J. Sultana ; D. Kazanas
• 关键词：Inertia ; Friedmann Universes ; Mach’s Principle
• 刊名：Astrophysics and Space Science
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：359
• 期：1
• 全文大小：719 KB
• 参考文献：Abbussattar, Vishwakarma, R.G.: Class. Quantum Gravity 14, 945 (1997) ADS View Article
  Abdel-Rahaman, A.-M.M.: Gen. Relativ. Gravit. 22, 665 (1990) ADS View Article
  Accetta, F.C., Krauss, K.M., Romanelli, P.L.: Phys. Lett. B 278, 146 (1990) ADS View Article
  Arbab, A.I.: Gen. Relativ. Gravit. 29, 61 (1997) MathSciNet ADS View Article
  Arzoumanian, Z.: PhD thesis, Princeton University Press, 1995
  Ba?ados, M., Silk, J., West, S.W.: Phys. Rev. Lett. 103, 111102 (2009) ADS View Article
  Barbour, J.B.: In: Barbour, J.B., Pfister (eds.) Mach’s Principle: From Newton’s Bucket to Quantum Gravity. Birkhauser, Basel (1995)
  Barrow, J.D.: Phys. Rev. D 35, 1805 (1987) ADS View Article
  Benvenuto, O.G., Garcia-Berro, E., Isern, J.: Phys. Rev. D 69, 082002 (2004) ADS View Article
  Berman, M.S.: Gen. Relativ. Gravit. 23, 465 (1991a) ADS View Article
  Berman, M.S.: Phys. Rev. D 43, 1075 (1991b) ADS View Article
  Berman, M.S.: Astrophys. Space Sci. 318, 269 (2008) ADS View Article
  Berman, M.S.: Int. J. Theor. Phys. 48, 3257 (2009) View Article
  Berry, M.V.: Principles of Cosmology and Gravitation. Cambridge University Press, Cambridge (1976)
  Bertolami, O.: Nuovo Cimento B 93, 36 (1986) ADS View Article
  Bottino, A., Kim, C.W., Song, J.: Phys. Lett. B 351, 116 (1995) ADS View Article
  Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961) MathSciNet ADS View Article
  Carroll, S.M.: Spacetime and Geometry: An Introduction to General Relativity. Addison Wesley, Reading (2004)
  Copi, C.J., Davis, A.N., Krauss, L.M.: Phys. Rev. Lett. 92, 171301 (2004) ADS View Article
  Crawford, J.P., Kazanas, D.: Astrophys. J. 701, 1701 (2009) ADS View Article
  Dirac, P.A.M.: Nature 139, 323 (1937) ADS View Article
  Dirac, P.A.M.: Proc. R. Soc. Lond. A 365, 19 (1979) MathSciNet ADS View Article
  Freese, K., et al.: Nucl. Phys. B 287, 797 (1987) ADS View Article
  Gaztanaga, E., et al.: Phys. Rev. D 65, 023506 (2001) ADS View Article
  Giné, J.: Int. J. Theor. Phys. 50, 607 (2011) View Article
  Goldman, T., et al.: Phys. Lett. B 281, 219 (1992) ADS View Article
  Graneau, P., Graneau, N.: Gen. Relativ. Gravit. 35, 751 (2003) MathSciNet ADS View Article
  Guenther, D.B., et al.: Astrophys. J. 498, 871 (1998) ADS View Article
  Haisch, B., Rueda, A., Puthoff, H.E.: Phys. Rev. A 49, 678 (1994) ADS View Article
  Hellings, R.W.: In: Melinkov, V. (ed.) Problems in Gravitation. State University Press, Moscow (1987)
  Jamil, M., Debnath, U.: Int. J. Theor. Phys. 50, 1602 (2011) MathSciNet View Article
  Jordan, P.: Naturwissenschaften 26, 417 (1938) ADS View Article
  Kalligas, D., Wesson, P., Everitt, C.W.F.: Gen. Relativ. Gravit. 24, 351 (1992) MathSciNet ADS View Article
  Kaspi, V.M., Taylor, J.H., Ryba, M.: Astrophys. J. 428, 713 (1994) ADS View Article
  Kazanas, D.: Astrophys. J. 241, L59 (1980) ADS View Article
  Lau, Y.: Aust. J. Phys. 38, 547 (1985) ADS View Article
  Lense, J., Thirring, H.: Phys. Z. 19, 156 (1918)
  Li, Y.: Class. Quantum Gravity 28, 225006 (2011) ADS View Article
  Mach, E.: The Science of Mechanics—A Critical Historical Account of Its Development. Open Court, La Salle (1960)
  Martins, A.A., Pinheiro, M.J.: Int. J. Theor. Phys. 47, 2706 (2008) MathSciNet View Article
  McGaugh, S.S.: Can. J. Phys. 93, 250 (2015) ADS View Article
  Moffat, J.W.: J. Cosmol. Astropart. Phys. 03, 004 (2006) MathSciNet ADS View Article
  Moffat, J.W., Toth, J.W.: Mon. Not. R. Astron. Soc. 395, L25 (2009) ADS View Article
  Nordtvedt, K.: Phys. Rev. 169, 1017 (1968) ADS View Article
  Peebles, P.J.E., Ratra, B.: Astrophys. J. 325, L17 (1988) ADS View Article
  Peters, P.C.: J. Math. Phys. 10, 1216 (1969) ADS View Article
  Ponce de Leone, J.: Class. Quantum Gravity 20, 5321 (2003) ADS View Article
  Ponce de Leon, J.: Class. Quantum Gravity 29, 135009 (2012) MathSciNet ADS View Article
  Pradhan, A., Singh, A.K., Otarod, S.: Rom. J. Phys. 52, 445 (2007)
  Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988) ADS View Article
  Ray, S., et al.: Int. J. Mod. Phys. D 16, 1791 (2007) ADS View Article
  Ray, S., et al.: Int. J. Theor. Phys. 50, 2687 (2011) View Article
  Reasenberg, R.D.: Philos. Trans. R. Soc. A 310, 227 (1983) ADS View Article
  Reuter, M., Weyer, H.: Phys. Rev. D 70, 124028 (2004) ADS View Article
  Rindler, W., Ishak, M.: Phys. Rev. D 76, 043006 (2007) ADS View Article
  Rubano, C., Scudellaro, P.: Gen. Relativ. Gravit. 37, 521 (2005) MathSciNet ADS View Article
  Sciama, D.W.: Mon. Not. R. Astron. Soc. 113, 34 (1953) MathSciNet ADS View Article
  Signore, R.: Nuovo Cimento 112B, 1593 (1997) MathSciNet ADS
  Singh, N.I., Devi, Y.B., Singh, S.S.: Astrophys. Space Sci. 345, 213 (2013) ADS View Article
  Singh, T., Beesham, A., Mbokazi, W.S.: Gen. Relativ. Gravit. 30, 573 (1998) MathSciNet ADS View Article
  Stairs, I.H.: Living
• 作者单位：J. Sultana (1)
  D. Kazanas (2)
  
  1. Department of Mathematics, Faculty of Science, University of Malta, Msida, MSD2080, Malta
  2. Astrophysics Science Division, NASA/Goddard Space Flight Center Greenbelt, Maryland, 20771, USA
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  
• 出版者：Springer Netherlands
• ISSN：1572-946X

文摘

In light of the recent interest in dynamical dark energy models based on a cosmology with varying gravitational and cosmological parameters \(G\) and \(\varLambda\), we present here a model of inertia in a type of Friedmann universe with \(G = G_{0}(A/A_{0})^{\sigma}\); \(A\) being the dimensionless scale factor, that was recently studied by Singh et al. (Astrophys. Space Sci. 345:213, 2013). The proposed Machian model of inertia utilizes the curved space generalization of Sciama’s law of inertial induction, which is based on the analogy between the retarded far fields of electrodynamics and those of gravitation, and expresses the total inertial force \(F= -ma\) on an accelerating mass \(m\) in terms of contributions from all matter in the observable Universe. We show that for a varying Friedmann model with \(\sigma=-3/2\), inertial induction alone can account for the total inertial force on the accelerating mass. We then compare this cosmological model with current observational constraints for the variation of \(G\).