On the Exterior Solution of Spherically Symmetric Stationary Space-time in a Vector-tensor Gravity

Authors

  • Roberto Dale Departament d’Estadística, Matemàtica i Informàtica and Centre of Operations Research (CIO), Universidad Miguel Hernández, 03202 Elx, Spain.
  • Màrius J. Fullana Institut de Matemàtica Multicisciplinària, Universitat Politècnica de València, 46022 València, Spain.
  • Alicia Herrero Institut de Matemàtica Multicisciplinària, Universitat Politècnica de València, 46022 València, Spain.

DOI:

https://doi.org/10.9734/bpi/cppsr/v5/6950B

Keywords:

Attractive-repulsive vector-tensor theories, gravity theories, spherical symmetry

Abstract

In this chapter vector-tensor (VT) theories are studied deriving the stationary spherically symmetric solution. In the absence of matter content, the solution obtained is similar to the Reissner-Nordström-de Sitter one of General Relativity, but the role of the electrical charge is played by some parameters related to the VT theory. Blackhole and cosmological horizons are also studied. A deviation of the radius of the VT black hole horizon with respect to the Kottler-Schwazschild-de Sitter one is found. Finally, from a study of the boundary conditions it is found that the cosmological constant appears in a natural way from these vector-tensor theories.

Published

2024-01-01

How to Cite

Roberto Dale, Màrius J. Fullana, & Alicia Herrero. (2024). On the Exterior Solution of Spherically Symmetric Stationary Space-time in a Vector-tensor Gravity. Current Perspective to Physical Science Research Vol. 5, 10–30. https://doi.org/10.9734/bpi/cppsr/v5/6950B