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math.APJul 1, 2023
2
citations (OpenAlex)
authors
  • Karen Yagdjian
arXiv abstractPDF
paper

Waves in cosmological background with static Schwarzschild radius in the expanding universe

arXiv:2307.01335 · doi:10.1063/5.0166195

Abstract

In this paper, we prove the existence of global in time small data solutions of semilinear Klein-Gordon equations in space-time with a static Schwarzschild radius in the expanding universe.

References in corpus (10)

  • Cosmological Multi-Black Hole Solutions
  • A proof of Price's law for the collapse of a self-gravitating scalar field
  • Black hole shadow in an expanding universe with a cosmological constant
  • The linear stability of the Schwarzschild solution to gravitational perturbations
  • Observational evidence for cosmological coupling of black holes and its implications for an astrophysical source of dark energy
  • Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime
  • de Sitter tachyons and related topics
  • The Strauss conjecture on asymptotically flat space-times
  • Global existence of the self-interacting scalar field in the de Sitter universe
  • Quasinormal modes of small Schwarzschild-de Sitter black holes
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