Skip to main content
Log in

Effect of a varying gravitational constant on the SN Ia Hubble diagram, AGN luminosity evolution, and X-ray source counts

  • Original Article
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

The impact of a cosmic time evolution of the gravitational constant on SN Ia luminosity and AGN/QSO luminosity functions is studied. The gravitational constant scales linearly with the Hubble parameter, its present-day variation being \(\dot{G}_{0}/G_{0}\approx 1.9\times 10^{-4}\)  Gyr−1, compatible with current bounds from lunar laser ranging. Distance moduli of Type Ia supernovae are fitted with a cosmic expansion factor derived from temperature variations of planetary paleoclimates, and a luminosity dependence on look-back time proportional to the varying gravitational constant is inferred from the Hubble diagram. A fit is performed to the comoving space density of X-ray-selected active galactic nuclei (AGNs) and optically selected quasars (QSOs) extending to redshifts z≈6. The initial steep increase of the AGN space density is reproduced by a redshift evolution depending solely on the Hubble parameter as scaling variable. The AGN luminosity scales with the Hubble parameter, and the scaling exponents of the luminosity function, composed of two competing power laws with exponential cutoff, are obtained. Based on the AGN luminosity function, flux-limited X-ray source counts are investigated. The counting functions are derived and put to test by fitting cumulative number counts of soft X-ray point sources compiled from ROSAT, XMM-Newton, and Chandra surveys.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Amsler, C., et al.: Review of particle physics. Phys. Lett. B 667, 1 (2008)

    Article  ADS  Google Scholar 

  • Babbedge, T.S.R., et al.: Luminosity functions for galaxies and quasars in the Spitzer Wide-Area Infrared Extra-galactic (SWIRE) Legacy survey. Mon. Not. R. Astron. Soc. 370, 1159 (2006)

    Article  ADS  Google Scholar 

  • Baldi, A., et al.: The HELLAS2XMM Survey. I. The X-ray data and the log N–log S relation. Astrophys. J. 564, 190 (2002)

    Article  ADS  Google Scholar 

  • Bauer, F.E., et al.: The fall of active galactic nuclei and the rise of star-forming galaxies: a close look at the Chandra Deep Field X-ray number counts. Astron. J. 128, 2048 (2004)

    Article  ADS  Google Scholar 

  • Brunner, H., et al.: XMM-Newton observations of the Lockman Hole: X-ray source catalogue and number counts. Astron. Astrophys. 479, 283 (2008)

    Article  ADS  Google Scholar 

  • Cappelluti, N., et al.: The XMM-Newton Wide-Field Survey in the COSMOS Field. II. X-ray data and the log N–log S relations. Astrophys. J. Suppl. 172, 341 (2007)

    Article  ADS  Google Scholar 

  • Cappelluti, N., et al.: The XMM-Newton wide-field survey in the COSMOS field. The point-like X-ray source catalogue. Astron. Astrophys. 497, 635 (2009)

    Article  ADS  Google Scholar 

  • Carrera, F.J., et al.: The XMM-Newton serendipitous survey. III. The AXIS X-ray source counts and angular clustering. Astron. Astrophys. 469, 27 (2007)

    Article  ADS  Google Scholar 

  • Cowan, J.J., Sneden, C.: Heavy element synthesis in the oldest stars and the early Universe. Nature 440, 1151 (2006)

    Article  ADS  Google Scholar 

  • Croom, M.S., et al.: The 2dF QSO Redshift Survey—XII. The spectroscopic catalogue and luminosity function. Mon. Not. R. Astron. Soc. 349, 1397 (2004)

    Article  ADS  Google Scholar 

  • Dauphas, N.: The U/Th production ratio and the age of the Milky Way from meteorites and Galactic halo stars. Nature 435, 1203 (2005)

    Article  ADS  Google Scholar 

  • Dirac, P.A.M.: A new basis for cosmology. Proc. R. Soc. (Lond.) A 165, 199 (1938)

    Article  ADS  Google Scholar 

  • Dyson, F.J.: The fundamental constants and their time variation. In: Salam, A., Wigner, E.P. (eds.) Aspects of Quantum Theory. Cambridge University Press, Cambridge (1972)

    Google Scholar 

  • Elvis, M., et al.: The Chandra COSMOS Survey, I: overview and point source catalog. Astrophys. J. Suppl. 184, 158 (2009)

    Article  ADS  Google Scholar 

  • Fan, X., et al.: High-redshift quasars found in Sloan Digital Sky Survey commissioning data. III. A color-selected sample at i *<20 in the Fall Equatorial Stripe. Astron. J. 121, 31 (2001)

    Article  ADS  Google Scholar 

  • Fan, X., et al.: A survey of z>5.7 quasars in the Sloan Digital Sky Survey. III. Discovery of five additional quasars. Astron. J. 128, 515 (2004)

    Article  ADS  Google Scholar 

  • Ferrarese, L., et al.: The Hubble Space Telescope Key Project on the extragalactic distance scale. XXVI. The calibration of Population II secondary distance indicators and the value of the Hubble constant. Astrophys. J. 529, 745 (2000)

    Article  ADS  Google Scholar 

  • Gallagher, J.S., et al.: Supernovae in early-type galaxies: directly connecting age and metallicity with Type Ia luminosity. Astrophys. J. 685, 752 (2008)

    Article  ADS  Google Scholar 

  • Gilli, R., Comastri, A., Hasinger, G.: The synthesis of the cosmic X-ray background in the Chandra and XMM-Newton era. Astron. Astrophys. 463, 79 (2007)

    Article  ADS  Google Scholar 

  • Guenther, D.B., Krauss, L.M., Demarque, P.: Testing the constancy of the gravitational constant using helioseismology. Astrophys. J. 498, 871 (1998)

    Article  ADS  Google Scholar 

  • Hasinger, G., et al.: The ROSAT Deep Survey. I. X-ray sources in the Lockman Field. Astron. Astrophys. 329, 482 (1998)

    ADS  Google Scholar 

  • Hasinger, G., Miyaji, T., Schmidt, M.: Luminosity-dependent evolution of soft X-ray selected AGN. New Chandra and XMM-Newton surveys. Astron. Astrophys. 441, 417 (2005)

    Article  ADS  Google Scholar 

  • Jimenez, R., et al.: Constraints on the equation of state of dark energy and the Hubble constant from stellar ages and the cosmic microwave background. Astrophys. J. 593, 622 (2003)

    Article  ADS  Google Scholar 

  • Kasting, J.F., Catling, D.: Evolution of a habitable planet. Annu. Rev. Astron. Astrophys. 41, 429 (2003)

    Article  ADS  Google Scholar 

  • Kessler, R., et al.: First-year Sloan Digital Sky Survey-II supernova results: Hubble diagram and cosmological parameters. Astrophys. J. Suppl. 185, 32 (2009)

    Article  Google Scholar 

  • Komatsu, E., et al.: Five-year Wilkinson Microwave Anisotropy Probe observations: cosmological interpretation. Astrophys. J. Suppl. 180, 330 (2009)

    Article  ADS  Google Scholar 

  • Kowalski, M., et al.: Improved cosmological constraints from new, old, and combined supernova datasets. Astrophys. J. 686, 749 (2008)

    Article  ADS  Google Scholar 

  • Lehmer, B.D., et al.: The Extended Chandra Deep Field-South Survey: Chandra point- source catalogs. Astrophys. J. Suppl. 161, 21 (2005)

    Article  ADS  Google Scholar 

  • Magnus, W., Oberhettinger, F., Soni, R.P.: Formulas and Theorems for the Special Functions of Mathematical Physics. Springer, New York (1966)

    MATH  Google Scholar 

  • Miyaji, T., Hasinger, G., Schmidt, M.: Soft X-ray AGN luminosity function from ROSAT surveys. II. Table of the binned soft X-ray luminosity function. Astron. Astrophys. 369, 49 (2001)

    Article  ADS  Google Scholar 

  • Moretti, A., et al.: The resolved fraction of the cosmic X-ray background. Astrophys. J. 588, 696 (2003)

    Article  ADS  Google Scholar 

  • Müller, J., Biskupek, L.: Variations of the gravitational constant from lunar laser ranging data. Class. Quantum Gravity 24, 4533 (2007)

    Article  MATH  Google Scholar 

  • Newman, M.J., Rood, R.T.: Implications of solar evolution for the Earth’s early atmosphere. Science 198, 1035 (1977)

    Article  ADS  Google Scholar 

  • Percival, W.J., et al.: Baryon acoustic oscillations in the Sloan Digital Sky Survey Data Release 7 galaxy sample. Mon. Not. R. Astron. Soc. (2009). arXiv:0907.1660

  • Puccetti, S., et al.: The XMM-Newton survey of the ELAIS-S1 field. I. Number counts, angular correlation function and X-ray spectral properties. Astron. Astrophys. 457, 501 (2006)

    Article  ADS  Google Scholar 

  • Reid, B.A., et al.: Cosmological constraints from the clustering of the Sloan Digital Sky Survey DR7 luminous red galaxies. Mon. Not. R. Astron. Soc. (2009). arXiv:0907.1659

  • Richards, G.T., et al.: The Sloan Digital Sky Survey quasar survey: quasar luminosity function from Data Release 3. Astron. J. 131, 2766 (2006)

    Article  ADS  Google Scholar 

  • Riess, A.G., et al.: Type Ia supernova discoveries at z>1 from the Hubble Space Telescope: evidence for past deceleration and constraints on dark energy evolution. Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  • Riess, A.G., et al.: New Hubble Space Telescope discoveries of Type Ia supernovae at z≥1: narrowing constraints on the early behavior of dark energy. Astrophys. J. 659, 98 (2007)

    Article  ADS  Google Scholar 

  • Rosati, P., et al.: The Chandra Deep Field-South: the 1 million second exposure. Astrophys. J. 566, 667 (2002)

    Article  ADS  Google Scholar 

  • Sandage, A.: Observational tests of world models. Annu. Rev. Astron. Astrophys. 26, 561 (1988)

    Article  ADS  Google Scholar 

  • Sandage, A.: Practical cosmology: inventing the past. In: Binggeli, B., Buser, R. (eds.) The Deep Universe. Springer, Berlin (1995)

    Google Scholar 

  • Sandage, A., et al.: The Hubble constant: a summary of the Hubble Space Telescope program for the luminosity calibration of Type Ia supernovae by means of Cepheids. Astrophys. J. 653, 843 (2006)

    Article  ADS  Google Scholar 

  • Schatz, H., et al.: Thorium and uranium chronometers applied to CS 31082-001. Astrophys. J. 579, 626 (2002)

    Article  ADS  Google Scholar 

  • Schmidt, M., Schneider, D.P., Gunn, J.E.: Spectroscopic CCD surveys for quasars at large redshift. IV. Evolution of the luminosity function from quasars detected by their Lyman-alpha emission. Astron. J. 110, 68 (1995)

    Article  ADS  Google Scholar 

  • Silverman, J.D., et al.: Comoving space density of X-ray-selected active galactic nuclei. Astrophys. J. 624, 630 (2005)

    Article  ADS  Google Scholar 

  • Silverman, J.D., et al.: The luminosity function of X-ray-selected active galactic nuclei: evolution of supermassive black holes at high redshift. Astrophys. J. 679, 118 (2008)

    Article  ADS  Google Scholar 

  • Sneden, C., et al.: Neutron-capture element abundances in the globular cluster M15. Astrophys. J. 536, L85 (2000)

    Article  ADS  Google Scholar 

  • Stritzinger, M., et al.: Constraints on the progenitor systems of Type Ia supernovae. Astron. Astrophys. 450, 241 (2006a)

    Article  ADS  Google Scholar 

  • Stritzinger, M., et al.: Consistent estimates of 56Ni yields for Type Ia supernovae. Astron. Astrophys. 460, 793 (2006b)

    Article  ADS  Google Scholar 

  • Tomaschitz, R.: Ether, luminosity and galactic source counts. Astrophys. Space Sci. 259, 255 (1998)

    Article  MATH  ADS  Google Scholar 

  • Tomaschitz, R.: Cosmic time variation of the gravitational constant. Astrophys. Space Sci. 271, 181 (2000)

    Article  MATH  ADS  Google Scholar 

  • Tomaschitz, R.: Faint young Sun, planetary paleoclimates and varying fundamental constants. Int. J. Theor. Phys. 44, 195 (2005)

    Article  MATH  Google Scholar 

  • Ueda, Y., et al.: Cosmological evolution of the hard X-ray active galactic nucleus luminosity function and the origin of the hard X-ray background. Astrophys. J. 598, 886 (2003)

    Article  ADS  Google Scholar 

  • Ueda, Y., et al.: The Subaru/XMM-Newton Deep Survey (SXDS). III. X-ray data. Astrophys. J. Suppl. 179, 124 (2008)

    Article  ADS  Google Scholar 

  • Wall, J.V., et al.: The Parkes quarter-Jansky flat-spectrum sample. III. Space density and evolution of QSOs. Astron. Astrophys. 434, 133 (2005)

    Article  ADS  Google Scholar 

  • Williams, J.G., et al.: Lunar laser ranging science: gravitational physics and lunar interior and geodesy. Adv. Space Res. 37, 67 (2006)

    Article  ADS  Google Scholar 

  • Wolf, C., et al.: The evolution of faint AGN between z≈1 and z≈5 from the COMBO-17 survey. Astron. Astrophys. 408, 499 (2003)

    Article  ADS  Google Scholar 

  • Wood-Vasey, W.M., et al.: Observational constraints on the nature of dark energy: first cosmological results from the ESSENCE Supernova Survey. Astrophys. J. 666, 694 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Roman Tomaschitz.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tomaschitz, R. Effect of a varying gravitational constant on the SN Ia Hubble diagram, AGN luminosity evolution, and X-ray source counts. Astrophys Space Sci 325, 259–275 (2010). https://doi.org/10.1007/s10509-009-0175-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10509-009-0175-7

PACS

Navigation