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Uniform density static fluid sphere in Einstein-Gauss-Bonnet gravity and its universality

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

In Newtonian theory, gravity inside a constant density static sphere is independent of spacetime dimension. Interestingly this general result is also carried over to Einsteinian as well as higher order Einstein-Gauss-Bonnet (Lovelock) gravity notwithstanding their nonlinearity. We prove that the necessary and sufficient condition for universality of Schwarzschild interior solution describing a uniform density sphere for all $n\geq4$ is that its density is constant.

fields

gr-qc 2

years

2025 1 2019 1

verdicts

UNVERDICTED 2

representative citing papers

Relativistic strange quark stars in Lovelock gravity

gr-qc · 2019-07-05 · unverdicted · novelty 5.0

Numerical computation of mass-radius profiles, compactness, and gravitational redshift for strange quark stars in 5D Gauss-Bonnet gravity across several values of the Gauss-Bonnet parameter.

Buchdahl stars and bounds with cosmological constant

gr-qc · 2025-07-01 · unverdicted · novelty 4.0

Generalized Buchdahl bounds on horizonless object compactness are derived in the presence of a cosmological constant, preserving universality while yielding method-dependent results.

citing papers explorer

Showing 2 of 2 citing papers.

  • Relativistic strange quark stars in Lovelock gravity gr-qc · 2019-07-05 · unverdicted · none · ref 40 · internal anchor

    Numerical computation of mass-radius profiles, compactness, and gravitational redshift for strange quark stars in 5D Gauss-Bonnet gravity across several values of the Gauss-Bonnet parameter.

  • Buchdahl stars and bounds with cosmological constant gr-qc · 2025-07-01 · unverdicted · none · ref 28 · internal anchor

    Generalized Buchdahl bounds on horizonless object compactness are derived in the presence of a cosmological constant, preserving universality while yielding method-dependent results.