Spherical collapse and cluster number counts in DHOST theories that pass the constraints from gravitational waves

arXiv:2605.13937 · astro-ph.CO · Submitted 2026-05-13 · Read on arXiv

astro-ph.CO

Submitted: 2026-05-13

Updated: 2026-09-07

Comments: 28 pages, 7 figures. Revised version

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Abundance — 12× in this paper · explained in 1 episode
• Degeneracy — 2× in this paper · explained in 3 episodes
• Distribution Shift — 1× in this paper · explained in 5 episodes
• Higher-order derivatives — 1× in this paper · explained in 2 episodes
• N-body simulations — 1× in this paper · explained in 2 episodes

Sources

• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Extended Scalar-Tensor Theories of Gravity
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Horndeski: beyond, or not beyond?
• Ostrogradsky in Theories with Multiple Fields
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Gravitational Wave Decay into Dark Energy
• On the screening mechanism in DHOST theories evading gravitational wave constraints
• Testing gravity theories with cosmic microwave background in the degenerate higher-order scalar-tensor theory
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Vainshtein screening in a cosmological background in the most general second-order scalar-tensor theory
• Effective theory for the Vainshtein mechanism from the Horndeski action
• Vainshtein mechanism after GW170817
• Spherical Collapse and the Halo Model in Braneworld Gravity
• The SRG/eROSITA All-Sky Survey: The first catalog of galaxy clusters and groups in the Western Galactic Hemisphere

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