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Gravitational Physics for Cosmic Scales

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Book cover Fundamental Questions of Practical Cosmology

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 383))

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Abstract

World models have been always related to views on the reason why an apple falls. At the heart of a cosmological model there must be a theory of that universal force that acts between all masses and rules the dynamics of the whole universe. In current cosmology, it is general relativity. This is not a quantum theory and developments in theoretical physics suggest that also other possibilities exist to construct a gravity theory to be used in world models—a good reason to pay attention to trends in gravity physics.

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Notes

  1. 1.

    A quantum description of the field was attempted by Bronstein (1936), Fierz and Pauli (1939), Ivanenko and Sokolov (1947), Feynman (1963, 1971), Weinberg (1965), Zakharov (1965), and Ogievetsky and Polubarinov (1965). Others tried to combine geometry and field; this has led to three different theories with different predictions (Sect. 5.2.3).

  2. 2.

    We use main definitions and notations similar to Landau and Lifshitz (1971), so 4D tensor indices are denoted by Latin letters i,k,l,… which take on the values 0, 1, 2, 3, and the metric has signature (+,−,−,−).

  3. 3.

    The problem of the meaning of coordinate systems in general relativity has been debated for a long time and there is no commonly accepted solution (see, for instance, Misner et al. 1973, p. 1097; Mitra 2002, 2006).

  4. 4.

    It has been argued that this way of importing the energy into the gravity field is physically inconsistent (Logunov and Folomeshkin 1977; Logunov and Mestvirishvili 1989). Moreover Yilmaz (1992) has shown that due to the Freud identity for any pseudo-tensor \(\partial_{i} (\sqrt{-g} t^{i}_{k})=0\), creating a difficulty with the definition of the gravitational acceleration.

  5. 5.

    These include: Sokolov and Baryshev (1980), Baryshev and Sokolov (1983, 1984), Sokolov (1992a, 1992b, 1992c, 1992d), Baryshev (1982, 1995, 1996, 2003), Baryshev and Kovalevski (1990), Baryshev and Raikov (1995), Baryshev and Paturel (2001), Paturel and Baryshev (2003a, 2003b), and other refs. in this book.

  6. 6.

    This point is also different from all “effective geometry” theories where the universality of gravity is understood as geodesic motion in Riemannian space.

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Authors and Affiliations

  1. Institute of Astronomy, St.Petersburg State University, Staryj Peterhoff, 198504, St.Petersburg, Russia

    Yurij Baryshev

  2. Tuorla Observatory, Department of Physics and Astronomy, University of Turku, 21500, Piikkiö, Finland

    Pekka Teerikorpi

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  1. Yurij Baryshev
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Correspondence to Yurij Baryshev .

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Baryshev, Y., Teerikorpi, P. (2012). Gravitational Physics for Cosmic Scales. In: Fundamental Questions of Practical Cosmology. Astrophysics and Space Science Library, vol 383. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2379-5_5

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