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Exponential Gravity

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arxiv 0905.2962 v2 pith:UCJPQ43U submitted 2009-05-18 astro-ph.CO gr-qc

Eric V. Linder This is my paper · ORCID
classification astro-ph.COgr-qc
keywords exponentialgravitymodificationaccelerationalleviateasymptotescalculateclass
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We investigate a f(R) modification of gravity that is exponential in the Ricci scalar R to explain cosmic acceleration. The steepness of this dependence provides extra freedom to satisfy solar system and other curvature regime constraints. With a parameter to alleviate the usual fine tuning of having the modification strengthen near the present, the total number of parameters is only one more than LCDM. The resulting class of solutions asymptotes to w=-1 but has no cosmological constant. We calculate the dynamics in detail, examine the effect on the matter power spectrum, and provide a simple fitting form relating the two.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gravitational Wave Birefringence in generalized Palatini Chern Simons

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Palatini f(R)+Chern–Simons gravity predicts amplitude and velocity birefringence in GW propagation, with the effect controlled by f_R and, under de-Sitter approximations, growing polynomially with redshift.

  2. Realizing the phantom-divide crossing with vector and scalar fields

    astro-ph.CO 2026-01 conditional novelty 6.0 of 10

    A scalar-vector-tensor dark-energy model crosses the phantom divide at low redshift with no ghost or Laplacian instabilities and growth signatures close to LCDM.

  3. Apparent horizon thermodynamics in an exponential $f(Q)$ gravity model

    gr-qc 2026-08 conditional novelty 5.0 of 10

    In an exponential f(Q) model, apparent-horizon entropy gains exponentially suppressed corrections to the area law, and the generalized second law excludes parameter values b>0.26 in the future-redshift region.

  4. Exponential $f(R)$ cosmology with massive neutrinos as a dynamical dark energy framework

    gr-qc 2025-11 conditional novelty 5.0 of 10

    Exponential f(R) gravity with massive neutrinos fits current expansion data about as well as ΛCDM and yields slightly different H0 and Σmν constraints, but does not eliminate the Hubble tension.

  5. Modified gravity/Dynamical Dark Energy vs $\Lambda$CDM: is the game over?

    gr-qc 2024-12 reject novelty 4.0 of 10

    An AIC/χ² comparison of exponential F(R) gravity, wCDM, and CPL models against Pantheon+, DESI DR1, cosmic chronometer, and Planck-compressed data claims ΛCDM is excluded at 4σ, but the significance conversion is not ...

  6. Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

    gr-qc 2017-05 accept novelty 2.0 of 10

    Modified gravity theories supply viable mathematical frameworks for inflation, bounces, and dark energy eras that match observational data.

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