Scholarlink

<p>We consider three different approaches (by Ashtekar, Bonga and Kesavan; Hoque and Virmani; and Dobkowski-Ryłko and Lewandowski) to investigate gravitational radiation produced by time changing matter source in de Sitter spacetime. All of them lead to generalizations of the quadrupole formula, however, due to different gauge conditions and choices of the hypersurfaces, across which the energy flux is computed, it is nontrivial to see that they all coincide, as one would expect from the symplectic theory. Each of the expressions for the radiated energy in the form of gravitational waves is expressed in terms of the mass and pressure quadrupole moments and written explicitly up to the linear order in <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msqrt> <mi mathvariant="normal">Λ</mi> </msqrt> </math></EquationSource> <EquationSource Format="TEX">\( \sqrt{\Lambda} \)</EquationSource> </InlineEquation>, or equivalently in Hubble parameter <i>H</i>. It is shown that up to the first order all three of the generalizations of the quadrupole formula agree.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Quadrupole formulae with cosmological constant: comparison

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年1月2日

查看全文
  • Denis Dobkowski-Ryłko,
  • Jerzy Lewandowski

摘要

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