Universality of the Buchdahl sphere

Abstract

Buchdahl sphere, the limiting stable isotropic stellar structure without exotic matter, plays a very important role in our understanding of how compact an astrophysical object can be. Here, we show certain universal properties associated with the Buchdahl sphere, in the sense that these properties will not change with the inclusion of electric charge in the stellar structure, or, will hold good in the pure Lovelock theories of gravity as well. Using these universalities, we have proposed a Buchdahl limit for a slowly-rotating stellar configuration, for the first time. Finally, the universality of the Buchdahl sphere in terms of the gravitational and non-gravitational field energies, as well as for the photon sphere have also been discussed.

Published version, 20 pages, 2 figures

References in corpus (9)

• A recipe for echoes from exotic compact objects
• Minimum mass-radius ratio for charged gravitational objects
• Understanding photon sphere and black hole shadow in dynamically evolving spacetimes
• Sharp bounds on 2m/r for static spherical objects
• Absolute Stability Limit for Relativistic Charged Spheres
• Limits on stellar structures in Lovelock theories of gravity
• Existence and stability of relativistic fluid spheres supported by thin shells
• Tidal heating of black holes and exotic compact objects on the brane
• Maximum Force for Black Holes and Buchdahl Stars

Cited by in corpus (2)

• Isotropic Buchdahl's relativistic fluid sphere within $f(R,T)$ gravity
• Extending the weak cosmic censorship conjecture to the charged Buchdahl star by employing the gedanken experiments