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Does a relativistic metric generalization of Newtonian gravity exist in 2+1 dimensions?

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abstract

It is shown that, contrary to previous claims, a scalar tensor theory of Brans-Dicke type provides a relativistic generalization of Newtonian gravity in 2+1 dimensions. The theory is metric and test particles follow the space-time geodesics. The static isotropic solution is studied in vacuum and in regions filled with an incompressible perfect fluid. It is shown that the solutions can be consistently matched at the matter vacuum interface, and that the Newtonian behavior is recovered in the weak field regime.

fields

astro-ph.CO 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

A solid unification of the dark sector

astro-ph.CO · 2026-06-25 · unverdicted · novelty 6.0

A generalized Chaplygin-type solid unifies dark matter and dark energy via an early pressureless phase transitioning to a late solid phase that supports acceleration and produces distinct low-redshift perturbation signatures.

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  • A solid unification of the dark sector astro-ph.CO · 2026-06-25 · unverdicted · none · ref 49 · internal anchor

    A generalized Chaplygin-type solid unifies dark matter and dark energy via an early pressureless phase transitioning to a late solid phase that supports acceleration and produces distinct low-redshift perturbation signatures.