8 citations · 12 across the 4 of their papers we have counts for
5 papers
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, and . In particular we sh…
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 and the Bach tensor …
Exceptional points for associated Legendre functions of the second kind
Tianye Liu, Daniel A. Norman, Philip D. Mannheim
We consider the complex plane structure of the associated Legendre function of the second kind . We find that for any noninteger value for $Q^{-1/2-K}…
Double shadow of a 4D Einstein-Gauss-Bonnet black hole and their connection between with quasinormal modes
Tian-Tian Liu, He-Xu Zhang, Yu-Hang Feng +2
In this paper, we study the shadow of a 4D Einstein-Gauss-Bonnet black hole as photons couple to the Weyl tensor and find that the propagation of light depends on its polarization…
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…