Abstract

The main aim of this paper is essentially to point out that the Buchdahl compactness limit of a static object is given by gravitational field energy being less than or equal to half of its non-gravitational matter energy. It is thus entirely determined without any reference to interior distribution by the unique exterior solutions, the Schwarzschild for neutral and the Reissner-Nordström for charged object. In terms of surface potential, it reads as Φ(R) = (M−Q2/2R)/R ⩽ 4/9 which translates to surface red-shift being less than or equal to 3. It also prescribes an upper bound on charge an object could have, Q2/M2 ⩽ 9/8 > 1.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.