Eckart heat flux holds for all timelike scalar configurations in F(Φ,X)R + G theories if and only if F_X ≡ 0, reducing the theory to a Jordan-like subclass of Horndeski.
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Black hole horizons in 2+1D are composed of quantized length quanta 8π ℓ_P n, producing entropy near the Bekenstein-Hawking value and a local Hawking spectrum via a length ensemble.
Slowly rotating wormholes in Rényi, mixed, and Moradpour holographic dark energy produce distinct photon orbits and shadow morphologies, with Rényi models yielding smaller asymmetric shadows.
The nonlinear coefficient λ controls the inverse periodicity of Kasner exponent oscillations in the interior of holographic black holes near the superfluid critical point.
A corner in the Euclidean black hole geometry enables direct derivation of the Wald entropy formula in F(R_abcd) gravity and the ADM Hamiltonian conjugate to the horizon Killing vector as the conjugate variable to inverse temperature.
Links generalized black hole entropies to scalar-tensor gravity via Misner-Sharp mass and Wald entropy, yielding distinct scalar potentials with cosmological implications.
The authors derive analytical expressions for photon spheres, shadows, ISCOs, epicyclic frequencies, QPOs, thermodynamics, and Hawking radiation sparsity for charged black holes in KR-gravity with perfect fluid dark matter.
Exact cylindrically symmetric black-hole and black-string solutions sourced by the Dekel-Zhao DM profile exhibit horizon disappearance above a critical inner slope and curvature singularities absent in the vacuum case.
Kaniadakis entropic cosmology modifies early-universe dynamics and is constrained by its predictions for Starobinsky inflation and the primordial tensor spectrum using current CMB and gravitational-wave observations.
Euler-Heisenberg coupling and surrounding matter fields modify the temperature profile, stability structure, and critical point location of AdS black holes, while changing Hawking radiation sparsity, photon sphere, and shadow size.
The perfect fluid dark matter parameter dominates the effects on shadow size, quasinormal frequencies, and energy emission rates, while the Euler-Heisenberg correction remains subleading in the explored regime.