66 citations · 369 across the 16 of their papers we have counts for
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Unique factor ordering in the continuum limit of LQC
William Nelson, Mairi Sakellariadou
We show that the factor ordering ambiguities associated with the loop quantisation of the gravitational part of the cosmological Hamiltonian constraint, disappear at the level of W…
On the possibility of Dark Energy from corrections to the Wheeler-De Witt equation
William Nelson, Mairi Sakellariadou
We present a method for approximating the effective consequence of generic quantum gravity corrections to the Wheeler-DeWitt equation. We show that in many cases these corrections…
Lattice Refining LQC and the Matter Hamiltonian
William Nelson, Mairi Sakellariadou
In the context of loop quantum cosmology, we parametrise the lattice refinement by a parameter, , and the matter Hamiltonian by a parameter, . We then solve the Hamiltonian c…
Lattice Refining Loop Quantum Cosmology and Inflation
William Nelson, Mairi Sakellariadou
We study the importance of lattice refinement in achieving a successful inflationary era. We solve, in the continuum limit, the second order difference equation governing the quant…
On the Onset of Inflation in Loop Quantum Cosmology
Cristiano Germani, William Nelson, Mairi Sakellariadou
Using a Liouville measure, similar to the one proposed recently by Gibbons and Turok, we investigate the probability that single-field inflation with a polynomial potential can las…