Table of Contents
Corrigendum

A corrigendum for this article has been published. To view the corrigendum, please click here.

Journal of Gravity
Volume 2016 (2016), Article ID 9706704, 22 pages
http://dx.doi.org/10.1155/2016/9706704
Review Article

Clusters of Galaxies in a Weyl Geometric Approach to Gravity

Faculty of Mathematics & Natural Sciences and Interdisciplinary Centre for History and Philosophy of Science, University of Wuppertal, 42119 Wuppertal, Germany

Received 14 March 2016; Revised 20 April 2016; Accepted 3 May 2016

Academic Editor: Jose Antonio De Freitas Pacheco

Copyright © 2016 Erhard Scholz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. Scholz, “MOND-like acceleration in integrable Weyl geometric gravity,” Foundations of Physics, vol. 46, no. 2, pp. 176–208, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. Y.-Y. Zhang, T. F. Laganá, D. Pierini, E. Puchwein, P. Schneider, and T. H. Reiprich, “Corrigendum to star-formation efficiency and metal enrichment of the intracluster medium in local massive clusters of galaxies,” Astronomy & Astrophysics, vol. 544, article C3, 1 pages, 2012. View at Google Scholar
  3. T. F. Laganá, Y.-Y. Zhang, T. H. Reiprich, and P. Schneider, “XMM-Newton/Sloan digital sky survey: star formation efficiency in galaxy clusters and constraints on the matter-density parameter,” Astrophysical Journal, vol. 743, no. 1, article 13, 11 pages, 2011. View at Publisher · View at Google Scholar · View at Scopus
  4. Y.-Y. Zhang, T. F. Laganá, D. Pierini, E. Puchwein, P. Schneider, and T. H. Reiprich, “Star-formation efficiency and metal enrichment of the intracluster medium in local massive clusters of galaxies,” Astronomy & Astrophysics, vol. 535, article A78, 11 pages, 2011. View at Publisher · View at Google Scholar · View at Scopus
  5. R. H. Sanders, “Clusters of galaxies with modified Newtonian dynamics,” Monthly Notices of the Royal Astronomical Society, vol. 342, no. 3, pp. 901–908, 2003. View at Publisher · View at Google Scholar · View at Scopus
  6. M. J. Geller, A. Diaferio, and M. J. Kurtz, “The mass profile of the Coma galaxy cluster,” Astrophysical Journal, vol. 517, no. 1, pp. L23–L26, 1999. View at Publisher · View at Google Scholar · View at Scopus
  7. P. Jordan, Schwerkraft und Weltall, Vieweg, Braunschweig, Germany, 1952, 2nd edition 1955.
  8. C. Brans and R. H. Dicke, “Mach's principle and a relativistic theory of gravitation,” Physical Review, vol. 124, no. 3, pp. 925–935, 1961. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  9. Y. Fujii and K.-C. Maeda, The Scalar-Tensor Theory of Gravitation, Cambridge University Press, Cambridge, UK, 2003.
  10. V. Faraoni and E. Gunzig, “Einstein frame or Jordan frame?” International Journal of Theoretical Physics, vol. 38, no. 1, pp. 217–225, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  11. J. Audretsch, F. Gähler, and N. Straumann, “Wave fields in Weyl spaces and conditions for the existence of a preferred pseudo-Riemannian structure,” Communications in Mathematical Physics, vol. 95, no. 1, pp. 41–51, 1984. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. F. P. Poulis and J. M. Salim, “Weyl geometry as characterization of space-time,” International Journal of Modern Physics: Conference Series, vol. 3, pp. 87–97, 2011. View at Publisher · View at Google Scholar
  13. I. Quiros, “Scale invariant theory of gravity and the standard model of particles,” http://arxiv.org/abs/1401.2643
  14. E. Scholz, “Paving the way for transitions—a case for Weyl geometry,” in Towards a Theory of Spacetime Theories, D. Lehmkuhl, Ed., Birkhäuser, Basel, Switzerland, 2016, http://arxiv.org/abs/1206.1559. View at Google Scholar
  15. T. H. Reiprich, Cosmological implications and physical properties of an X-ray flux-limited sample of galaxy clusters [Ph.D. thesis], LMU Munich, Munich, Germany, 2001.
  16. Y. Nakayama, “Scale invariance vs conformal invariance,” http://arxiv.org/abs/1302.0884
  17. R. Adler, M. Bazin, and S. Menahem, Introduction to General Relativity, McGraw-Hill, New York, NY, USA, 2nd edition, 1975.
  18. M. Blagojevic, Gravitation and Gauge Symmetries, Institute of Physics, Bristol, UK, 2002.
  19. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, John Wiley & Sons, New York, NY, USA, 1972.
  20. B. Famaey and S. S. McGaugh, “Modified Newtonian dynamics (MOND): observational phenomenology and relativistic extensions,” Living Reviews in Relativity, vol. 15, article 10, pp. 1–159, 2012. View at Publisher · View at Google Scholar · View at Scopus
  21. J. Bekenstein and M. Milgrom, “Does the missing mass problem signal the breakdown of Newtonian gravity?” Astrophysical Journal, vol. 286, pp. 7–14, 1984. View at Google Scholar
  22. J. D. Bekenstein, “Relativistic gravitation theory for the modified Newtonian dynamics paradigm,” Physical Review D, vol. 70, no. 8, Article ID 083509, 2004. View at Publisher · View at Google Scholar
  23. W. Drechsler and H. Tann, “Broken Weyl invariance and the origin of mass,” Foundations of Physics, vol. 29, no. 7, pp. 1023–1064, 1999. View at Publisher · View at Google Scholar · View at Scopus
  24. R. H. Sanders, “The virial discrepancy in clusters of galaxies in the context of modified Newtonian dynamics,” Astrophysical Journal, vol. 512, no. 1, pp. L23–L26, 1999. View at Publisher · View at Google Scholar · View at Scopus
  25. Y.-Y. Zhang, H. Andernach, C. A. Caretta et al., “HIFLUGCS: galaxy cluster scaling relations between X-ray luminosity, gas mass, cluster radius, and velocity dispersion,” Astronomy & Astrophysics, vol. 526, article A105, p. 38, 2011. View at Publisher · View at Google Scholar · View at Scopus
  26. A. Biviano, G. Murante, S. Borgani, A. Diaferio, K. Dolag, and M. Girardi, “On the efficiency and reliability of cluster mass estimates based on member galaxies,” Astronomy & Astrophysics, vol. 456, no. 1, pp. 23–36, 2006. View at Publisher · View at Google Scholar · View at Scopus
  27. H. C. Ohanian, “Weyl gauge-vector and complex dilaton scalar for conformal symmetry and its breaking,” General Relativity and Gravitation, vol. 48, no. 3, article 25, pp. 1–17, 2016. View at Publisher · View at Google Scholar · View at MathSciNet