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We generalize the electromagnetic duality between a massless, canonical scalar field and a 2-form gauge field in 4-dimensional spacetime to scalar-tensor theories.
Tsutomu Kobayashi, “Horndeski theory and beyond: a review,” (2019), arXiv:1901.07183 [gr-qc]
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1952
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Gregory Walter Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int. J. Theor. Phys. 10
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G. W. Horndeski, “Conservation of Charge and the Einstein-Maxwell Field Equations,” J. Math. Phys. 17
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Mark J. Bowick, Steven B. Giddings, Jeffrey A. Harvey, Gary T. Horowitz, and Andrew Strominger, “Axionic Black Holes and a Bohm-Aharonov Effect for Strings,” Phys. Rev. Lett. 61
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Bruce A. Campbell, Malcolm J. Duncan, Nemanja Kaloper, and Keith A. Olive, “Gravitational dynamics with Lorentz Chern-Simons terms,” Nucl. Phys. B351
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Bruce A. Campbell, Nemanja Kaloper, Richard Madden, and Keith A. Olive, “Physical properties of four-dimensional superstring gravity black hole solutions,” Nucl. Phys. B399
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C. Armendariz-Picon, T. Damour, and Viatcheslav F. Mukhanov, “k - inflation,” Phys. Lett. B458
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Takeshi Chiba, Takahiro Okabe, and Masahide Yamaguchi, “Kinetically driven quintessence,” Phys. Rev. D62
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C. Armendariz-Picon, Viatcheslav F. Mukhanov, and Paul J. Steinhardt, “A Dynamical solution to the problem of a small cosmological constant and late time cosmic acceleration,” Phys. Rev. Lett. 85
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R. Jackiw and S. Y. Pi, “Chern-Simons modification of general relativity,” Phys. Rev. D68
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Peter Svrcek and Edward Witten, “Axions In String Theory,” JHEP 06
2006
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Niayesh Afshordi, Daniel J. H. Chung, and Ghazal Geshnizjani, “Cuscuton: A Causal Field Theory with an Infinite Speed of Sound,” Phys. Rev. D75
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Stephon Alexander and Nicolas Yunes, “Chern-Simons Modified General Relativity,” Phys. Rept. 480
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Lavinia Heisenberg, “Generalization of the Proca Action,” JCAP 1405
2014
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2014
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Richard P. Woodard, “Ostrogradsky’s theorem on Hamiltonian instability,” Scholarpedia 10
2015
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Asuka Ito and Jiro Soda, “Designing Anisotropic Inflation with Form Fields,” Phys. Rev. D92
2015
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2011
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2011
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2016
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Claudia de Rham and Andrew Matas, “Ostrogradsky in Theories with Multiple Fields,” JCAP 1606
2016
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Rampei Kimura, Atsushi Naruko, and Daisuke Yoshida, “Extended vector-tensor theories,” JCAP 1701
2017
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2018
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