Brans–Dicke theory (English Wikipedia)

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Faroni, Valerio (1999). "Illusions of general relativity in Brans-Dicke gravity". Phys. Rev. D59 (8): 084021. arXiv:gr-qc/9902083. Bibcode:1999PhRvD..59h4021F. doi:10.1103/PhysRevD.59.084021. S2CID 7558104.
Georgios Kofinas, Minas Tsoukalas: On the action of the complete Brans-Dicke theories, on arXiv:1512.04786 [gr-qc], 28. Nov. 2016, DOI:10.1140/epjc/s10052-016-4505-y, equation (2.9) on page 2. Some authors use
$S_{M}=\int d^{4}x{\sqrt {-g}}\;{\mathcal {L}}_{\mathrm {M} }$
for the matter term, see Brans-Dicke-Theorie: Definition (German).

Brans, C. H.; Dicke, R. H. (November 1, 1961). "Mach's Principle and a Relativistic Theory of Gravitation". Physical Review. 124 (3): 925–935. Bibcode:1961PhRv..124..925B. doi:10.1103/PhysRev.124.925.
Faroni, Valerio (1999). "Illusions of general relativity in Brans-Dicke gravity". Phys. Rev. D59 (8): 084021. arXiv:gr-qc/9902083. Bibcode:1999PhRvD..59h4021F. doi:10.1103/PhysRevD.59.084021. S2CID 7558104.
M. Campanelli, C.O. Lousto, Int. J. Mod. Phys. D 02, 451 (1993) https://doi.org/10.1142/S0218271893000325
Georgios Kofinas, Minas Tsoukalas: On the action of the complete Brans-Dicke theories, on arXiv:1512.04786 [gr-qc], 28. Nov. 2016, DOI:10.1140/epjc/s10052-016-4505-y, equation (2.9) on page 2. Some authors use
$S_{M}=\int d^{4}x{\sqrt {-g}}\;{\mathcal {L}}_{\mathrm {M} }$
for the matter term, see Brans-Dicke-Theorie: Definition (German).

Brans, C. H.; Dicke, R. H. (November 1, 1961). "Mach's Principle and a Relativistic Theory of Gravitation". Physical Review. 124 (3): 925–935. Bibcode:1961PhRv..124..925B. doi:10.1103/PhysRev.124.925.
Faroni, Valerio (1999). "Illusions of general relativity in Brans-Dicke gravity". Phys. Rev. D59 (8): 084021. arXiv:gr-qc/9902083. Bibcode:1999PhRvD..59h4021F. doi:10.1103/PhysRevD.59.084021. S2CID 7558104.

Faroni, Valerio (1999). "Illusions of general relativity in Brans-Dicke gravity". Phys. Rev. D59 (8): 084021. arXiv:gr-qc/9902083. Bibcode:1999PhRvD..59h4021F. doi:10.1103/PhysRevD.59.084021. S2CID 7558104.

Georgios Kofinas, Minas Tsoukalas: On the action of the complete Brans-Dicke theories, on arXiv:1512.04786 [gr-qc], 28. Nov. 2016, DOI:10.1140/epjc/s10052-016-4505-y, equation (2.9) on page 2. Some authors use
$S_{M}=\int d^{4}x{\sqrt {-g}}\;{\mathcal {L}}_{\mathrm {M} }$
for the matter term, see Brans-Dicke-Theorie: Definition (German).