6 citations · 8 across the 2 of their papers we have counts for
7 papers
From continuum mechanics to general relativity
Christian G. Boehmer, Robert J. Downes
Using ideas from continuum mechanics we construct a theory of gravity. We show that this theory is equivalent to Einstein's theory of general relativity; it is also a much faster w…
Spectral theoretic characterization of the massless Dirac action
Robert J. Downes, Dmitri Vassiliev
We consider an elliptic self-adjoint first order differential operator L acting on pairs (2-columns) of complex-valued half-densities over a connected compact 3-dimensional manifol…
Spectral asymmetry of the massless Dirac operator on a 3-torus
Robert J. Downes, Michael Levitin, Dmitri Vassiliev
Consider the massless Dirac operator on a 3-torus equipped with Euclidean metric and standard spin structure. It is known that the eigenvalues can be calculated explicitly: the spe…
Spectral theoretic characterization of the massless Dirac operator
Olga Chervova, Robert J. Downes, Dmitri Vassiliev
We consider an elliptic self-adjoint first order differential operator acting on pairs (2-columns) of complex-valued half-densities over a connected compact 3-dimensional manifold…
The spectral function of a first order elliptic system
Olga Chervova, Robert J. Downes, Dmitri Vassiliev
We consider an elliptic self-adjoint first order pseudodifferential operator acting on columns of complex-valued half-densities over a connected compact manifold without boundary.…
The spectral function of a first order system
Olga Chervova, Robert J. Downes, Dmitri Vassiliev
We consider an elliptic self-adjoint first order pseudodifferential operator acting on columns of m complex-valued half-densities over a connected compact n-dimensional manifold wi…