Astronomy & Space

New gravity theory faces tight constraints from cosmic structure measurements

How the science connects

Dark energy

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Researchers have tested a new geometric theory of gravity called Conformal Killing Gravity (CKG) that explains dark energy as emerging from the mathematical symmetries of spacetime rather than requiring arbitrary parameters. Using multiple cosmic observations including data from Planck, DESI, and supernova surveys, they found the model favors a quintessence-like dark energy evolution and predicts the universe's expansion will reach a turning point at a redshift between -0.8 and -0.7. The theory extends the standard cosmological model with just one additional parameter and remains consistent with observations, though it does not resolve the Hubble tension problem.


This work offers a physically motivated alternative to the cosmological constant for explaining cosmic acceleration, potentially advancing our fundamental understanding of dark energy. The prediction of a future turning point in cosmic expansion, if confirmed, would have profound implications for the ultimate fate of the universe.


⚠️ Preprint – Noch nicht peer-reviewed

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Abstract: We investigate a geometric approach referred to as the Conformal Killing Gravity (CKG), in which the dark energy sector emerges naturally from the conformal Killing symmetry of the Robertson–Walker space-time. Within this framework, the divergence-free conformal Killing tensor behaves as an effective perfect fluid, giving rise to a dynamical dark-energy component whose density, pressure, and equation of state are uniquely determined by the underlying geometry, without introducing any empirical dark-energy parametrization. The resulting CKG model extends the standard $Lambda$CDM cosmology through a single additional parameter while recovering the $Lambda$CDM limit in the absence of the geometric contribution. We constrain the model using Planck PR4 (NPIPE) CMB temperature, polarization, and lensing observations, ACT DR6 CMB lensing, DESI DR2 baryon acoustic oscillation measurements, and the Pantheon$+$, DES-Dovekie, and Union3 Type Ia supernova compilations. The analysis shows that the CKG favors a quintessence-like dark-energy evolution with no evidence for phantom crossing, while the reconstructed equation of state rapidly approaches the cosmological constant at earlier cosmic times. Furthermore, the model predicts a future critical redshift in the range $-0.8 lesssim z_c lesssim -0.7$, indicating that the present cosmic expansion eventually reaches a turning point before the formal singular limit at $z=-1$. Since the geometric contribution modifies only the post-recombination expansion history, the sound horizon remains essentially unchanged and the model does not provide a complete solution to the $H_0$ tension. Our results demonstrate that the CKG provides a simple, physically motivated, and observationally favored framework for describing the late-time accelerated expansion of the Universe.

Source: Conformal Killing Gravity: New Constraints from DESI DR2 BAO datasets