Second-order scalar-tensor field theories

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Date

2017

Author

Şahin, Ertan Sinan

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We review Horndeski’s scalar-tensor theory in this thesis. Partial differential equations that are satisfied by the Lagrangian limit its most general form. Demanding second-order field equations both for the metric and the scalar field, and choosing a four-dimensional spacetime also put restrictions on the most general form of the Lagrangian. Besides, by using similar techniques, in a four-dimensional spacetime, we find the most general form of the second-order Euler-Lagrange equations that are obtained from the Lagrangian through a variation of the metric. Finally, making use of relations between field equations and the Lagrangian, the most general form of the Lagrangian is obtained. Thus, one establishes the most general scalar-tensor theory in a four-dimensional spacetime.

Subject Keywords

Gravitation., Tensor fields., Relativity (Physics).

URI

http://etd.lib.metu.edu.tr/upload/12620906/index.pdf
https://hdl.handle.net/11511/26396

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

E. S. Şahin, “Second-order scalar-tensor field theories,” M.S. - Master of Science, Middle East Technical University, 2017.