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Massive Gravity in Various Dimensions.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Massive Gravity in Various Dimensions./
Author:	Older, Daniel.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
Description:	197 p.
Notes:	Source: Dissertations Abstracts International, Volume: 83-02, Section: B.
Contained By:	Dissertations Abstracts International83-02B.
Subject:	Theoretical physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28410785
ISBN:	9798534690286

Massive Gravity in Various Dimensions.
Older, Daniel.

Massive Gravity in Various Dimensions. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 197 p.

Source: Dissertations Abstracts International, Volume: 83-02, Section: B.

Thesis (Ph.D.)--New York University, 2021.

This item must not be sold to any third party vendors.

In this dissertation, we investigate various theories of massive gravity in three, four, and five dimensions mainly with the goal of either alleviating the famous van Dam-Veltman-Zakharov (vDVZ) discontinuity and/or improving the regime of validity of the theory to shorter distances.We begin with a general study of Lorentz-violating massive gravity theories where there is no strong coupling problem in certain regimes of the mass parameter space. We then consider how such a theory could arise from a spontaneous breaking of translation symmetry by a fluid or solid medium at low energies. After this, we explore a special Chern-Simons gauge theory in three dimensions which is at least perturbatively equivalent to Fierz-Pauli theory and we analyze the stability and degrees of freedom of this theory, discovering a novel gauge symmetry which assists us in our analysis. The third chapter explores an intricate set-up in which we consider gravity in AdS5 with a boundary coupled to two scalar fields with special boundary conditions such that a mass is generated for the graviton at low energies through quantum loop corrections to the graviton propagator. We present strong evidence that there is a massive graviton induced on the bounding 4D brane. Then, in the final chapter, we conduct a complete study of the Randall-Sundrum model for scalars, vectors, and tensors, respectively. We clarify some interesting properties in the previously solved scalar and vector cases overlooked in the literature. We then solve the Randall-Sundrum model for massive gravity for the first time and find that there is no vDVZ discontinuity or strong coupling problem on the "Planck brane". We show how this is possible from the four dimensional point of view from the theory of Kaluza-Klein (KK) modes.

ISBN: 9798534690286Subjects--Topical Terms:

2144760
Theoretical physics.
Subjects--Index Terms:

Braneworld

Massive Gravity in Various Dimensions.
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245 1 0 $a Massive Gravity in Various Dimensions.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 197 p.
500 $a Source: Dissertations Abstracts International, Volume: 83-02, Section: B.
500 $a Advisor: Gabadadze, Gregory.
502 $a Thesis (Ph.D.)--New York University, 2021.
506 $a This item must not be sold to any third party vendors.
520 $a In this dissertation, we investigate various theories of massive gravity in three, four, and five dimensions mainly with the goal of either alleviating the famous van Dam-Veltman-Zakharov (vDVZ) discontinuity and/or improving the regime of validity of the theory to shorter distances.We begin with a general study of Lorentz-violating massive gravity theories where there is no strong coupling problem in certain regimes of the mass parameter space. We then consider how such a theory could arise from a spontaneous breaking of translation symmetry by a fluid or solid medium at low energies. After this, we explore a special Chern-Simons gauge theory in three dimensions which is at least perturbatively equivalent to Fierz-Pauli theory and we analyze the stability and degrees of freedom of this theory, discovering a novel gauge symmetry which assists us in our analysis. The third chapter explores an intricate set-up in which we consider gravity in AdS5 with a boundary coupled to two scalar fields with special boundary conditions such that a mass is generated for the graviton at low energies through quantum loop corrections to the graviton propagator. We present strong evidence that there is a massive graviton induced on the bounding 4D brane. Then, in the final chapter, we conduct a complete study of the Randall-Sundrum model for scalars, vectors, and tensors, respectively. We clarify some interesting properties in the previously solved scalar and vector cases overlooked in the literature. We then solve the Randall-Sundrum model for massive gravity for the first time and find that there is no vDVZ discontinuity or strong coupling problem on the "Planck brane". We show how this is possible from the four dimensional point of view from the theory of Kaluza-Klein (KK) modes.
590 $a School code: 0146.
650 4 $a Theoretical physics. $3 2144760
650 4 $a Physics. $3 516296
650 4 $a Gravity. $3 535300
650 4 $a Conventions. $3 3562375
650 4 $a Lagrange multiplier. $3 3691773
650 4 $a Symmetry. $3 536815
650 4 $a Dissertations & theses. $3 3560115
650 4 $a Spacetime. $3 3564379
650 4 $a Gravitational waves. $3 805566
650 4 $a Theory of relativity. $3 3562008
650 4 $a Boundary conditions. $3 3560411
650 4 $a Geometry. $3 517251
650 4 $a Dark energy. $3 3689294
650 4 $a Universe. $3 3682360
650 4 $a Cosmology. $3 531904
653 $a Braneworld
653 $a Cosmology
653 $a Effective field theory
653 $a General relativity
653 $a Massive gravity
653 $a Quantum field theory
690 $a 0753
690 $a 0605
710 2 $a New York University. $b Physics. $3 3180022
773 0 $t Dissertations Abstracts International $g 83-02B.
790 $a 0146
791 $a Ph.D.
792 $a 2021
793 $a English
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