Exact cosmological black hole solutions in scalar tensor vector gravity

D Pérez,G E Romero

doi:10.1088/1361-6382/ab55c8

Abstract

We find an exact solution of scalar-tensor-vector gravity field equations that represents a black hole embedded in an expanding universe. This is the first solution of such a kind found in the theory. We analyze the properties of the apparent horizons as well as the essential singularities of the metric, and compare them with the McVittie spacetime of general relativity. Depending on the cosmological model adopted and the value of the free parameter of the theory, the solution describes a cosmological black hole, an inhomogeneity in an expanding universe, or a naked singularity. We use the results to set further constraints on the free parameters of the theory and we study geodesic motion in this spacetime.

Highlights

We can classify the known solutions of the field equations of STVG in two main groups
Vacuum and non-vacuum solutions for a given distribution of matter where the spacetime metric is asymptotically flat. This is the case of the Schwarzschild and Kerr STVG black holes2 found by Moffat [28], and neutron star models constructed by Lopez Armengol and Romero [29]
In this work we derive the first exact solution of STVG field equations that represents an inhomogeneity in an expanding universe

Summary

Introduction

We can classify the known solutions of the field equations of STVG in two main groups. Vacuum and non-vacuum solutions for a given distribution of matter where the spacetime metric is asymptotically flat This is the case of the Schwarzschild and Kerr STVG black holes found by Moffat [28], and neutron star models constructed by Lopez Armengol and Romero [29]. The McVittie metric and its generalization have been widely studied through the years (see for instance the works by Faraoni and Jacques [33] and Carrera and Giulini [34]) The investigation of such solutions has transcended GR to encompass alternative theories of gravitation [35]. In this work we present exact solutions of STVG that represent an inhomogeneity in an expanding spacetime, and analyze the corresponding properties.

Objectives

Discussion

Conclusion