Abstract
This year Einstein's theory of general relativity celebrates its one hundredth birthday. It supersedes the nonrelativistic Newtonian theory of gravity in two aspects: i) there is a limiting velocity, nothing can move quicker than the speed of light and ii) the theory is valid in arbitrary coordinate systems. While point i) is by definition the necessary difference between relativistic and nonrelativistic theories, one might wonder if there exists a version of Newtonian gravity that
allows point ii), a theory of nonrelativistic gravity that is invariant under general coordinate transformations. Indeed, such a theory was constructed a few years after Einstein's theory of general relativity and it is called
NewtonCartan gravity. This theory finds applications e.g. in models of condensed matter physics that describe systems which exhibit
nonrelativistic symmetries. It is also used in generalizations of the holographic principle to nonrelativistic settings.
With these motivations in mind we study NewtonCartan structures in this thesis. We present a nonrelativistic limiting procedure that enables us to get NewtonCartan gravity from Einstein's relativistic theory. In addition we focus our study on supersymmetric extensions of NewtonCartan gravity. We study nonrelativistic versions of cosmological and conformal
supergravity in three dimensions. We also look at offshell formulations and a nonrelativistic version of the superconformal tensor calculus which we call Schroedinger tensor calculus.
allows point ii), a theory of nonrelativistic gravity that is invariant under general coordinate transformations. Indeed, such a theory was constructed a few years after Einstein's theory of general relativity and it is called
NewtonCartan gravity. This theory finds applications e.g. in models of condensed matter physics that describe systems which exhibit
nonrelativistic symmetries. It is also used in generalizations of the holographic principle to nonrelativistic settings.
With these motivations in mind we study NewtonCartan structures in this thesis. We present a nonrelativistic limiting procedure that enables us to get NewtonCartan gravity from Einstein's relativistic theory. In addition we focus our study on supersymmetric extensions of NewtonCartan gravity. We study nonrelativistic versions of cosmological and conformal
supergravity in three dimensions. We also look at offshell formulations and a nonrelativistic version of the superconformal tensor calculus which we call Schroedinger tensor calculus.
Original language  English 

Qualification  Doctor of Philosophy 
Awarding Institution 

Supervisors/Advisors 

Award date  4Jan2016 
Place of Publication  [Groningen] 
Publisher  
Print ISBNs  9789036784870 
Electronic ISBNs  9789036784863 
Publication status  Published  2016 