47 citations · 49 across the 2 of their papers we have counts for
5 papers
Forward and adjoint calculations of gravitational potential in heterogeneous, aspherical planets
Alex D. C. Myhill, Matthew A. Maitra, David Al-Attar
We have developed a computational package for the calculation of numerically exact internal and external gravitational potential, its functional derivatives and sensitivity kernels…
Cosserat elasticity as the weak-field limit of Einstein--Cartan relativity
Matthew Maitra, Jeroen Tromp
The weak-field limit of Einstein--Cartan (EC) relativity is studied. The equations of EC theory are rewritten such that they formally resemble those of Einstein General Relativity…
On the elastodynamics of rotating planets
Matthew Maitra, David Al-Attar
Equations of motion are derived for (visco)elastic, self-gravitating, and variably-rotating planets. The equations are written using a decomposition of the elastic motion that sepa…
On the stress dependence of the elastic tensor
Matthew Maitra, David Al-Attar
The dependence of the elastic tensor on the equilibrium stress is investigated theoretically. Using ideas from finite-elasticity, it is first shown that both the equilibrium stress…
Relativistic orbits around spinning supermassive black holes. Secular evolution to 4.5 post-Newtonian order
Clifford M. Will, Matthew Maitra
We derive the secular evolution of the orbital elements of a stellar-mass object orbiting a spinning massive black hole. We use the post-Newtonian approximation in harmonic coordin…