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Infinite derivative gravity: a ghost and singularity-free theory

Research output: Thesis › Doctoral Thesis

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Infinite derivative gravity: a ghost and singularity-free theory. / Conroy, Aindriú.
Lancaster University, 2017. 145 p.

Research output: Thesis › Doctoral Thesis

Harvard

Conroy, A 2017, 'Infinite derivative gravity: a ghost and singularity-free theory', PhD, Lancaster University. https://doi.org/10.17635/lancaster/thesis/4

APA

Conroy, A. (2017). Infinite derivative gravity: a ghost and singularity-free theory. [Doctoral Thesis, Lancaster University]. Lancaster University. https://doi.org/10.17635/lancaster/thesis/4

Vancouver

Conroy A. Infinite derivative gravity: a ghost and singularity-free theory. Lancaster University, 2017. 145 p. doi: 10.17635/lancaster/thesis/4

Author

Conroy, Aindriú. / Infinite derivative gravity : a ghost and singularity-free theory. Lancaster University, 2017. 145 p.

Bibtex

@phdthesis{cde9b2a9412645a1958d72a095dd96c4,
title = "Infinite derivative gravity: a ghost and singularity-free theory",
abstract = "The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons or exotic matter, while staying true to the theoretical foundations of General Relativity such as general covariance, as well as observed phenomenon such as the accelerated expansion of the universe and inflationary behaviour at later times. To this end, an infinite derivative extension of relativity is introduced, with the gravitational action derived and the non-linear field equations calculated, before being linearised around both Minkowski space and de Sitter space. The theory is then constrained so as to avoid ghosts and tachyons by appealing to the modified propagator, which is also derived. Finally, the Raychaudhuri Equation is employed in order to describe the ghost-free, defocusing behaviour around both Minkowski and de Sitter spacetimes, in the linearised regime.",
keywords = "gravity, infinite derivative gravity, modified gravity, ghosts, singularity-free, general relativity",
author = "Aindri{\'u} Conroy",
year = "2017",
month = apr,
doi = "10.17635/lancaster/thesis/4",
language = "English",
publisher = "Lancaster University",
school = "Lancaster University",

}

RIS

TY - BOOK

T1 - Infinite derivative gravity

T2 - a ghost and singularity-free theory

AU - Conroy, Aindriú

PY - 2017/4

Y1 - 2017/4

N2 - The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons or exotic matter, while staying true to the theoretical foundations of General Relativity such as general covariance, as well as observed phenomenon such as the accelerated expansion of the universe and inflationary behaviour at later times. To this end, an infinite derivative extension of relativity is introduced, with the gravitational action derived and the non-linear field equations calculated, before being linearised around both Minkowski space and de Sitter space. The theory is then constrained so as to avoid ghosts and tachyons by appealing to the modified propagator, which is also derived. Finally, the Raychaudhuri Equation is employed in order to describe the ghost-free, defocusing behaviour around both Minkowski and de Sitter spacetimes, in the linearised regime.

AB - The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons or exotic matter, while staying true to the theoretical foundations of General Relativity such as general covariance, as well as observed phenomenon such as the accelerated expansion of the universe and inflationary behaviour at later times. To this end, an infinite derivative extension of relativity is introduced, with the gravitational action derived and the non-linear field equations calculated, before being linearised around both Minkowski space and de Sitter space. The theory is then constrained so as to avoid ghosts and tachyons by appealing to the modified propagator, which is also derived. Finally, the Raychaudhuri Equation is employed in order to describe the ghost-free, defocusing behaviour around both Minkowski and de Sitter spacetimes, in the linearised regime.

KW - gravity

KW - infinite derivative gravity

KW - modified gravity

KW - ghosts

KW - singularity-free

KW - general relativity

U2 - 10.17635/lancaster/thesis/4

DO - 10.17635/lancaster/thesis/4

M3 - Doctoral Thesis

PB - Lancaster University

ER -