Home > Research > Publications & Outputs > On aspects of infinite derivatives field theori...

Electronic data

  • 2018teimouriphd

    Final published version, 971 KB, PDF document

    Available under license: CC BY-NC-ND: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

Text available via DOI:

View graph of relations

On aspects of infinite derivatives field theories & infinite derivative gravity

Research output: ThesisDoctoral Thesis

Publication date2018
Number of pages224
Awarding Institution
  • Lancaster University
Original languageEnglish


Infinite derivative theory of gravity is a modification to the general theory
of relativity. Such modification maintains the massless graviton as the only
true physical degree of freedom and avoids ghosts. Moreover, this class of
modified gravity can address classical singularities.

In this thesis some essential aspects of an infinite derivative theory of
gravity are studied. Namely, we considered the Hamiltonian formalism, where
the true physical degrees of freedom for infinite derivative scalar models
and infinite derivative gravity are obtained. Furthermore, the Gibbons-Hawking-York
boundary term for the infinite derivative theory of gravity was obtained.
Finally, we considered the thermodynamical aspects of the infinite derivative
theory of gravity over different backgrounds. Throughout the thesis, our
methodology is applied to general relativity, Gauss-Bonnet and f(R) theories
of gravity as a check and validation.