Publication detail

Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity

BOUSDER, M. RIADSOLH, A. EL FATIMY, A. EL BELKACEMI, M. EZ-ZAHRAOUY, H.

Original Title

Type

journal article in Web of Science

Language

English

Original Abstract

This study investigates the application of wave functions to explore various solutions of the Klein-Gordon and Schrödinger equations within the framework of Lovelock gravity. We also present the derived Smarr formula from the topological density. The Klein-Gordon solution leads to the Wheeler-de Witt Hamiltonian and quasinormal modes, and we demonstrate the connection between the potential and the black hole temperature within the Schwarzschild limit. Additionally, we discuss different solutions of the Schrödinger equation, with one solution highlighting the influence of the Airy solution on the wave function's evolution over time.

Keywords

BLACK-HOLES

Authors

BOUSDER, M.; RIADSOLH, A.; EL FATIMY, A.; EL BELKACEMI, M.; EZ-ZAHRAOUY, H.

Released

1. 9. 2024

Publisher

Elsevier

Location

AMSTERDAM

ISBN

1873-1562

Periodical

NUCLEAR PHYSICS B

Year of study

1006

Number

State

Kingdom of the Netherlands

Pages from

Pages to

Pages count

URL

https://www.sciencedirect.com/science/article/pii/S0550321324001962

Full text in the Digital Library

http://hdl.handle.net/11012/250691

BibTex

@article{BUT197242,
  author="Mostafa {Bousder} and A. {Riadsolh} and Abdelouahad {El Fatimy} and M. {El Belkacemi} and Hamin {Ez-Zahraouy}",
  title="Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity",
  journal="NUCLEAR PHYSICS B",
  year="2024",
  volume="1006",
  number="9",
  pages="11",
  doi="10.1016/j.nuclphysb.2024.116630",
  issn="1873-1562",
  url="https://www.sciencedirect.com/science/article/pii/S0550321324001962"
}