Quadrupole formulae with cosmological constant: comparison

• DOI: 10.1007/jhep01(2025)034
• Publication Date: 2025-01-03T05:41:58Z
• Authors: Denis Dobkowski-R...; Jerzy Lewandowski
• Keywords: Cosmological constant; Constant (computer programming); Quintessence

A bstract We consider three different approaches (by Ashtekar, Bonga and Kesavan; Hoque Virmani; Dobkowski-Ryłko Lewandowski) to investigate gravitational radiation produced by time changing matter source in de Sitter spacetime. All of them lead generalizations the quadrupole formula, however, due gauge conditions choices hypersurfaces, across which energy flux is computed, it nontrivial see that they all coincide, as one would expect from symplectic theory. Each expressions for radiated form waves expressed terms mass pressure moments written explicitly up linear order $$ \sqrt{\Lambda} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>Λ</mml:mi> </mml:msqrt> </mml:math> , or equivalently Hubble parameter H . It shown first formula agree.