Earlier geometrical theories of gravitation with short-range forces are analyzed, in view of a more general approach, to compare some of the properties of such theories with general relativity (GR). It is found that neither the scalar-tensor nor the fourth-order theories of gravity share with GR the interesting property that the binding energy of a gravitating system may be attributed to the loss of energy in packing the matter under its own gravitational field. This general approach, in the form of a GR field equation with an effective energy-momentum tensor is used to construct a constant-density, spherically-symmetric star model, via a heuristic argument, as a perturbation of the corresponding model in GR to study the modifications to the limiting gravitational mass. The application of the present study to other problems of physical interest is briefly mentioned.
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Acharya, R., and Hogan, P. H. (1973).Lettere al Nuovo Cimento,6, 668
Bergmann, P. G. (1968).International Journal of Theoretical Physics,1, 25.
Boulware, D. G., and Deser, S. (1972).Physical Review D,6, 3368.
Chiang, C. C., and Hamity, V. H. (1975).Nuovo Cimento 30B, 280.
Dehnen, H., and Ghaboussi, F. (1987).International Journal of Theoretical Physics,26, 483.
De Witt, B. (1975).Physics Reports,19C, 295.
D'Olivo, J. C., and Ryan, M. P. (1987).Classical and Quantum Gravity,4, L13.
Eckhardt, D., Jekeli, C., Lazarewicz, A. R., Romaides, A. J., and Sands, R. W. (1988).Physical Review Letters,60, 2567.
Ferraris, M., Francaviglia, M., and Magnano, O. (1988).Classical and Quantum Gravity,5, L95.
Fischbach, E., Sudarsky, D., Szafer, A., Talmadge, C., and Aronson, S. H. (1986).Physical Review Letters,56, 3.
Freund, P. G. O., Maheshwariu, A., and Schonberg, F. (1969).Astrophysical J.,157, 857.
Gibbons, G. W., and Whiting, B. F. (1981).Nature,291, 636.
Gribbin, J. (1988).New Scientist,1988, (25 February), 3.
Jordan, P. (1945).Nachrichten der Akademie der Wissenschaften in Göttingen, No. 39.
Kaluza, T. (1921).Sitzungsberichte der Berliner Akademie der Wissenschaften, No. 966.
Kim, J. K., and Yoom, J. (1987).Physics Letters,121, 213.
Klein, O. (1926).Zeitschrift für Physik,37, 895.
Misner, C. W., Thorne, K. S., and Wheeler, J. W. (1971).Gravitation, Freeman, San Francisco, Chapter 23.
O'Hanlon, J. (1972).Physical Review Letters,29, 137.
Pimentel, L. O., and Obregon, O. (1986).Astrophysics and Space Science,126, 231.
Seeliger, H. (1895).Astronomischer Nachrichten,137, (3273), 129.
Sexl, R., and Pedana, E. (1966).Communications in Mathematical Physics,2, 165.
Singh, T., and Singh, T. (1987).International Journal of Modern Physics A,2, 645.
Stacey, F. D., Tuck, G. J., Moore, G. I., Holding, S. C., Goodwin, B. D., and Zhou, R. (1987).Review of Modern Physics,59, 157.
Stelle, K. S. (1978).General Relativity and Gravitation,9, 353.
Synge, J. L. (1960).Relativity, The General Theory, North-Holland, Amsterdam.
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Barraco, D.E., Hamity, V.H. Geometrical theories of gravitation with short-range forces. Int J Theor Phys 29, 547–565 (1990). https://doi.org/10.1007/BF00672030
- Field Theory
- Binding Energy
- General Relativity
- Elementary Particle
- Quantum Field Theory