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Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect.

Journal articles  - Journal Article
Gallardo, PA; Pardo, K; Philcox, OHE; Battaglia, N; Battistelli, ES; Bean, R; Calabrese, E; Choi, SK; Devlin, M; Dunkley, J; Dünner, R ...
Published in: Physical review letters
April 2026

The mean pairwise velocity of massive halos reflects the gravitational force law on cosmic scales. We combine cosmic microwave background intensity maps from the Atacama Cosmology Telescope and a galaxy catalog from the Sloan Digital Sky Survey to estimate the mean pairwise velocity using the kinematic Sunyaev-Zeldovich (kSZ) effect. On scales from 30 to 230 megaparsecs, we constrain the gravitational acceleration between pairs of halos at separation r to be g∝1/r^{n} with n=2.1±0.3, which is consistent with Newtonian gravity in an expanding spacetime (i.e., the standard ΛCDM model). This constraint shows agreement with an inverse quadratic radial dependence over the large distances separating galaxy halos, as expected in standard cosmology. Upcoming surveys have the potential to rule out n=1 at 10σ significance. Our results establish the kSZ effect as a powerful tool for testing gravity on cosmological scales.

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Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

April 2026

Volume

136

Issue

15

Start / End Page

151002

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
 

Citation

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Chicago
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Gallardo, P. A., Pardo, K., Philcox, O. H. E., Battaglia, N., Battistelli, E. S., Bean, R., … Wollack, E. J. (2026). Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect. Physical Review Letters, 136(15), 151002. https://doi.org/10.1103/rk8v-rcm3
Gallardo, P. A., K. Pardo, O. H. E. Philcox, N. Battaglia, E. S. Battistelli, R. Bean, E. Calabrese, et al. “Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect.Physical Review Letters 136, no. 15 (April 2026): 151002. https://doi.org/10.1103/rk8v-rcm3.
Gallardo PA, Pardo K, Philcox OHE, Battaglia N, Battistelli ES, Bean R, et al. Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect. Physical review letters. 2026 Apr;136(15):151002.
Gallardo, P. A., et al. “Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect.Physical Review Letters, vol. 136, no. 15, Apr. 2026, p. 151002. Epmc, doi:10.1103/rk8v-rcm3.
Gallardo PA, Pardo K, Philcox OHE, Battaglia N, Battistelli ES, Bean R, Calabrese E, Choi SK, Devlin M, Dunkley J, Dünner R, Ferraro S, Guan Y, Healy E, Hervías-Caimapo C, Hilton M, Hincks AD, Hood JC, Kosowsky A, La Posta A, Louis T, Madhavacheril MS, McMahon J, Moodley K, Mroczkowski T, Naess S, Newburgh L, Niemack MD, Page LA, Partridge B, Puddu R, Schaan E, Sehgal N, Sifón C, Spergel DN, Staggs ST, van Engelen A, Vargas C, Vavagiakis EM, Wagoner K, Wollack EJ. Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect. Physical review letters. 2026 Apr;136(15):151002.

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

April 2026

Volume

136

Issue

15

Start / End Page

151002

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering