Is the apple cubic? Reflections about gravity theories
Keywords:
Gravity, Newton, Einstein, Modify gravityAbstract
Regarding the gravity description, the high school education in Colombia, and in many other countries, does not go beyond the Newton’s universal gravitation law, in most of the cases complemented with the story of Newton and the falling apple. One segment of this population know, additionally, that the most accepted gravity theory nowadays is Einstein’s general relativity, which generalizes the universal gravitation law. It is usual, therefore, that most of the people without a professional education in Physics associate the gravitation universal law, and as an extension general relativity, with the falling apple. Exploiting this association, this article discusses whether the apple might be cubic, i.e., whether there exists some description of the gravitational force that generalizes Einstein’s and that is well motivated and consistent with the most recent measurements
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References
- Abbott, B. P. et. al. (Laser Interferometer Gravitational-Wave Observatory Collaboration) (2016). Observation of Gravitational Waves from a Binary Black Hole Merger. Physical Review Letters, 116, 061102.
- Allys, E., Beltrán Almeida, J. P., Peter, P., and Rodríguez, Y. (2016). On the 4D generalized Proca action for an Abelian vector field. Journal of Cosmology and Astroparticle Physics, 1609, 026.
- Allys, E., Peter, P., and Rodríguez, Y. (2016a). Generalized SU(2) Proca theory. Physical Review D, 94, 084041.
- Allys, E., Peter, P., and Rodríguez, Y. (2016b). Generalized Proca action for an Abelian vector field. Journal of Cosmology and Astroparticle Physics, 1602, 004.
- Amendola, L. and Tsujikawa, S. (2010). Dark Energy. Cambridge University Press.
- Ariew, R. (1976). Ockham’s Razor: A Historical and Philosophical Analysis of Ockham’s Principle of Parsimony. Champaign-Urbana, University of Illinois.
- Beltrán Jiménez, J. and Heisenberg, L. (2016). Derivative self-interactions for a massive vector field. Physics Letters B, 757, 405.
- Einstein A. (1905). Zur Elektrodynamik bewegter Körper, Annalen der Physik 17,891.
- Einstein, A. (1915). Die Feldgleichungen der Gravitation, Preussische Akademie der Wissenschaften, Sitzungsberichte, 844.
- Einstein A. (1916). Die Grundlage der allgemeinen Relativitätstheorie, Annalen der Physik 49, 769.
- Ellis, G. F. R., Maartens, R., and MacCallum M. A. H. (2012). Relativistic Cosmology. Cambridge University Press.
- Euclid [c. 300 BC]. Elements. David E. Joyce (ed.). 1997.
- Garnica, J. C., Gómez, L. G., Navarro, A. A., and Rodríguez, Y. (2019). Generalized SU(2) Proca inflation. Work in progress.
- Heisenberg, L. (2014). Generalization of the Proca action. Journal of Cosmology and Astroparticle Physics, 1405, 015.
- Heisenberg, L. (2019). A systematic approach to generalizations of General Relativity and their cosmological implications. Physics Reports, 796, 1.
- Hilbert, D. (1915). Die Grundlagen der Physik [Foundations of Physics], Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen – Mathematisch-Physikalische Klasse, 3: 395.
- Kazunori, A. et. al. (The Event Horizon Telescope Collaboration). (2019). First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole. The Astrophysical Journal Letters, 875, L1.
- Newton, I. (1687): Principios matemáticos de la Filosofía natural [Philosophiae Naturalis Principia Mathematica]. Ediciones Altaya, S.A. Grandes Obras del Pensamiento, 21. 621 págs. Barcelona, 1993.
- Rodríguez, Y. and Navarro, A. A. (2017). Scalar and vector Galileons. Journal of Physics: Conference Series, 831, 012004.
- Rodríguez, Y. and Navarro, A. A. (2018). Non-Abelian S-term dark energy and inflation. Physics of the Dark Universe, 19, 129.
- Smolin L. (2008). The trouble with Physics: the rise of string theory, the fall of a science, and what comes next. Penguin.
- Tasinato, G. (2014). Cosmic acceleration from Abelian symmetry breaking. Journal of High Energy Physics, 1404, 067.
- Weinberg, S. (1972). Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. Wiley.
- Weinberg, S. (2008). Cosmology. Oxford University Press.
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