caa a22 4500 445386584 CHVBK 20180317143034.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10714-010-1100-7 doi (NATIONALLICENCE)springer-10.1007/s10714-010-1100-7 Pitts J. Department of Physics, Department of Philosophy, and Reilly Center for Science, Technology and Values, University of Notre Dame, 46556, Notre Dame, IN, USA aut Massive Nordström scalar (density) gravities from universal coupling [Elektronische Daten] [J. Pitts] Both particle physics and the 1890s Seeliger-Neumann modification of Newtonian gravity suggest considering a "mass term” for gravity, yielding a finite range due to an exponentially decaying Yukawa potential. Unlike Nordström's "massless” theory, massive scalar gravities are strictly Special Relativistic, being invariant under the Poincaré group but not the conformal group. Geometry is a poor guide to understanding massive scalar gravities: matter sees a conformally flat metric, but gravity also sees the rest of the flat metric, barely, in the mass term. Infinitely many theories exhibit this bimetric ‘geometry,' all with the total stress-energy's trace as source. All are new except the Freund-Nambu theory. The smooth massless limit indicates underdetermination of theories by data between massless and massive scalar gravities. The ease of accommodating electrons, protons and other fermions using density-weighted Ogievetsky-Polubarinov spinors in scalar gravity is noted. Springer Science+Business Media, LLC, 2010 Scalar gravity nationallicence Klein-Gordon equation nationallicence Nordström nationallicence Massive nationallicence Spinor nationallicence Scalar density nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/3(2011-03-01), 871-895 0001-7701 43:3<871 2011 43 10714 https://doi.org/10.1007/s10714-010-1100-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-1100-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pitts J. Department of Physics, Department of Philosophy, and Reilly Center for Science, Technology and Values, University of Notre Dame, 46556, Notre Dame, IN, USA aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/3(2011-03-01), 871-895 0001-7701 43:3<871 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer