Daniel A. Norman

activity

20212025

most citedExact solution to perturbative conformal cosmology from recombination until the current era

4 citations · 4 across the 3 of their papers we have counts for

collaborators

4 papers

math-ph2025

Properties of associated Legendre conical functions

Daniel A. Norman, Philip D. Mannheim, Tianye Liu

We present some new properties of associated Legendre conical functions of the first and second kind, $P_{- 1/2 + i τ}^{- 1/2 - K} (χ)$ and $Q_{- 1/2 + i τ}^{- 1/2 - K} (χ)$ . In particular we sh…

gr-qc2025

Creating a Universe from Nothing as an Alternative to the Cosmological Principle

Philip D. Mannheim, Daniel A. Norman, Tianye Liu

In the cosmological Robertson-Walker geometry required of the cosmological principle both the Weyl tensor $C^{μ λ ν κ}$ and the Bach tensor $W^{μν} = [2 \nabla_{κ} \nabla_{λ} - R_{λκ}] C^{μ λ ν κ}$ …

math-ph2023

Exceptional points for associated Legendre functions of the second kind

Tianye Liu, Daniel A. Norman, Philip D. Mannheim

We consider the complex $ν$ plane structure of the associated Legendre function of the second kind $Q_{ν}^{- 1/2 - K} (cosh ρ)$ . We find that for any noninteger value for $K$ $Q^{-1/2-K}…

gr-qc2021★ 4 cited

Exact solution to perturbative conformal cosmology from recombination until the current era

Asanka Amarasinghe, Tianye Liu, Daniel A. Norman +1

In a previous paper (P. D. Mannheim, Phys. Rev. D 102, 123535 (2020)) we studied cosmological perturbation theory in the cosmology associated with the fourth-order derivative confo…