- 2018teimouriphd
Final published version, 971 KB, PDF document

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

Research output: Thesis › Doctoral Thesis

Published

**On aspects of infinite derivatives field theories & infinite derivative gravity.** / Teimouri, Ilia.

Research output: Thesis › Doctoral Thesis

Teimouri, I 2018, 'On aspects of infinite derivatives field theories & infinite derivative gravity', PhD, Lancaster University. https://doi.org/10.17635/lancaster/thesis/223

Teimouri, I. (2018). *On aspects of infinite derivatives field theories & infinite derivative gravity*. Lancaster University. https://doi.org/10.17635/lancaster/thesis/223

Teimouri I. On aspects of infinite derivatives field theories & infinite derivative gravity. Lancaster University, 2018. 224 p. https://doi.org/10.17635/lancaster/thesis/223

@phdthesis{af195613841a4d5486aef5faa75a9b69,

title = "On aspects of infinite derivatives field theories & infinite derivative gravity",

abstract = "Infinite derivative theory of gravity is a modification to the general theoryof relativity. Such modification maintains the massless graviton as the onlytrue physical degree of freedom and avoids ghosts. Moreover, this class ofmodified gravity can address classical singularities.In this thesis some essential aspects of an infinite derivative theory ofgravity are studied. Namely, we considered the Hamiltonian formalism, wherethe true physical degrees of freedom for infinite derivative scalar modelsand infinite derivative gravity are obtained. Furthermore, the Gibbons-Hawking-Yorkboundary term for the infinite derivative theory of gravity was obtained.Finally, we considered the thermodynamical aspects of the infinite derivativetheory of gravity over different backgrounds. Throughout the thesis, ourmethodology is applied to general relativity, Gauss-Bonnet and f(R) theoriesof gravity as a check and validation. ",

author = "Ilia Teimouri",

year = "2018",

doi = "10.17635/lancaster/thesis/223",

language = "English",

publisher = "Lancaster University",

school = "Lancaster University",

}

TY - THES

T1 - On aspects of infinite derivatives field theories & infinite derivative gravity

AU - Teimouri, Ilia

PY - 2018

Y1 - 2018

N2 - Infinite derivative theory of gravity is a modification to the general theoryof relativity. Such modification maintains the massless graviton as the onlytrue physical degree of freedom and avoids ghosts. Moreover, this class ofmodified gravity can address classical singularities.In this thesis some essential aspects of an infinite derivative theory ofgravity are studied. Namely, we considered the Hamiltonian formalism, wherethe true physical degrees of freedom for infinite derivative scalar modelsand infinite derivative gravity are obtained. Furthermore, the Gibbons-Hawking-Yorkboundary term for the infinite derivative theory of gravity was obtained.Finally, we considered the thermodynamical aspects of the infinite derivativetheory of gravity over different backgrounds. Throughout the thesis, ourmethodology is applied to general relativity, Gauss-Bonnet and f(R) theoriesof gravity as a check and validation.

AB - Infinite derivative theory of gravity is a modification to the general theoryof relativity. Such modification maintains the massless graviton as the onlytrue physical degree of freedom and avoids ghosts. Moreover, this class ofmodified gravity can address classical singularities.In this thesis some essential aspects of an infinite derivative theory ofgravity are studied. Namely, we considered the Hamiltonian formalism, wherethe true physical degrees of freedom for infinite derivative scalar modelsand infinite derivative gravity are obtained. Furthermore, the Gibbons-Hawking-Yorkboundary term for the infinite derivative theory of gravity was obtained.Finally, we considered the thermodynamical aspects of the infinite derivativetheory of gravity over different backgrounds. Throughout the thesis, ourmethodology is applied to general relativity, Gauss-Bonnet and f(R) theoriesof gravity as a check and validation.

U2 - 10.17635/lancaster/thesis/223

DO - 10.17635/lancaster/thesis/223

M3 - Doctoral Thesis

PB - Lancaster University

ER -