2007

Non-Metric Gravity II: Spherically Symmetric Solution, Missing Mass and Redshifts of Quasars

Krasnov, Kirill, Shtanov, Yuri

Understand

We continue the study of the non-metric theory of gravity introduced in hep-th/0611182 and gr-qc/0703002 and obtain its general spherically symmetric vacuum solution.

  • It respects the analog of the Birkhoff theorem, i.e., the vacuum spherically symmetric solution is necessarily static.
  • As in general relativity, the spherically symmetric solution is seen to describe a black hole.
  • The exterior geometry is essentially the same as in the Schwarzschild case, with power-law corrections to the Newtonian potential.

Built on

  • J. L. Greenstein and M. Schmidt, “The Quasi-Stellar Radio Sources 3C 48 and 3C 273,” Astrophys. J. 140

    1964

    Earlier work this paper cites.

  • J. Plebański, “On the separation of Einsteinian substructures,” J. Math. Phys. 18

    1977

    Earlier work this paper cites.

  • H. Urbantke, J. Math. Phys. 25

    1983

    Earlier work this paper cites.

  • R. Capovilla, J. Dell, T. Jacobson, and L. Mason, “Self-dual 2-forms and gravity,” Class. Quantum Grav. 8

    1991

    Earlier work this paper cites.

  • O. Brodbeck, “On symmetric gauge fields for arbitrary gauge and symmetry groups,” Helv. Phys. Acta 69

    1996

    Earlier work this paper cites.

Similar

  • H. C. Arp, Seeing Red: Redshifts, Cosmology and Academic Science

    2001

    Cited alongside, same era.

  • M. López-Corredoira, “Observational Cosmology: caveats and open questions in the standard model,” Recent. Res. Devel. Astron. Astrophys. 1

    2003

    Cited alongside, same era.

  • G. R. Burbidge, “The Sources of Gamma-Ray Bursts and Their Connections with QSOs and Active Galaxies,” Astrophys. J. 585

    2004

    Cited alongside, same era.

  • C. Charmousis and J.-F. Dufaux, “General Gauss-Bonnet brane cosmology,” Class. Quantum Grav. 19

    Original

    2005

    Cited alongside, same era.

  • K. Krasnov, “Renormalizable Non-Metric Quantum Gravity?” arXiv:hep-th/0611182

    Cited in the paper.

  • K. Krasnov, “Non-Metric Gravity I: Field Equations,” arXiv:gr-qc/0703002

    Cited in the paper.

  • S. Collin, “Quasars and Galactic Nuclei, a Half-Century Agitated Story,” arXiv:astro-ph/0604560

    Cited in the paper.

Then

  • J. R. Brownstein and J. W. Moffat, “Galaxy Rotation Curves Without Non-Baryonic Dark Matter,” Astrophys. J. 636

    2006

    Later among the works it cites.

  • J. D. Anderson, P. A. Laing, E. L. Lau, A. S. Liu, M. M. Nieto, and S. G. Turyshev, “Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration,” Phys. Rev. Lett. 81

    2006

    Later among the works it cites.

  • R. H. Sanders, “Solar system constraints on multi-field theories of modified dynamics,” Mon. Not. Roy. Astron. Soc. 370

    2006

    Later among the works it cites.

  • I. Bengtsson, “Note on non-metric gravity,” Mod. Phys. Lett. A 22

    2007

    Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…