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Spectrum of the Laplacian on the Page metric
Journal article

Spectrum of the Laplacian on the Page metric

Abstract

We numerically construct the spectrum of the Laplacian on Page’s inhomogeneous Einstein metric on CP2#CP―2 by reducing the problem to a (singular) Sturm–Liouville problem in one dimension. We perform a perturbative analysis based upon a closely related, exactly solvable problem that strongly supports our results. We also study the spectrum of the Lichnerowicz Laplacian on symmetric traceless transverse two-tensors. The method relies on both the isometries of the Page metric and pseudospectral methods to numerically solve the resulting ODEs.

Authors

Hennigar RA; Kunduri HK; Sievers KTB; Wang Y

Journal

Journal of Physics A: Mathematical and Theoretical, Vol. 58, No. 40,

Publisher

IOP Publishing

Publication Date

October 6, 2025

DOI

10.1088/1751-8121/ae098f

ISSN

1751-8113

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