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Addressing the missing matter problem in galaxies through a new fundamental gravitational radius

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abstract

We demonstrate that the existence of a Noether symmetry in $f(R)$ theories of gravity gives rise to a further gravitational radius, besides the standard Schwarzschild one, determining the dynamics at galactic scales. By this feature, it is possible to explain the baryonic Tully-Fisher relation and the rotation curve of gas-rich galaxies without the dark matter hypothesis.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Primary Constraints of Newer General Relativity

gr-qc · 2026-05-28 · unverdicted · novelty 6.0

Primary constraint analysis of Newer General Relativity recovers five tensor and three vector constraints and identifies a previously unreported scalar-sector degeneracy that produces one or two constraints depending on the c_i values.

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  • Primary Constraints of Newer General Relativity gr-qc · 2026-05-28 · unverdicted · none · ref 21 · internal anchor

    Primary constraint analysis of Newer General Relativity recovers five tensor and three vector constraints and identifies a previously unreported scalar-sector degeneracy that produces one or two constraints depending on the c_i values.