Treating the baryogenesis operator as part of the action yields modified Friedmann and Raychaudhuri equations with an effective Planck mass M_eff² = M_Pl² - 2λ ∇_μ J^μ for the vector-density realization of the current.
$f(R,{T_{\mu\nu} T^{\mu\nu}})$ gravity and Cardassian-like expansion as one of its consequences
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We propose a new model of gravity where the Ricci scalar (R) in Einstein-Hilbert action is replaced by an arbitrary function of R and of the norm of energy-momentum tensor i.e., $f(R,T_{\mu\nu}T^{\mu\nu})$. Field equations are derived in the metric formalism. We find that the equation of motion of massive test particles is non-geodesic and these test particles are acted upon by a force which is orthogonal to the four-velocity of the particles. We also find the Newtonian limit of the model to calculate the extra acceleration which can affect the perihelion of Mercury. There is a deviation from the general relativistic(GR) result unless the energy density of fluid is constant. Arranging $\alpha$ parameter gives an opportunity to cure the inconsistency between the observational values for the abundance of light elements and the standard Big Bang Nucleosynthesis results. Even the dust dominated universe undergoes an accelerated expansion without using a cosmological constant in Model II. With this specific choice of $f(R,T_{\mu\nu}T^{\mu\nu})$, we get the a Cardassian-like expansion.
verdicts
UNVERDICTED 3representative citing papers
In f(R,T) = R + F(T) gravity, nonlinear F makes the averaged modified term differ from F at averaged T, invalidating the common unity-ratio assumption and giving dust nonzero proper pressure.
In quadratic-EMSG the self-acceleration of self-gravitating bodies vanishes at 1PN order and total linear momentum is conserved, consistent with binary-pulsar bounds.
citing papers explorer
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Gravitational baryogenesis beyond the spectator approximation
Treating the baryogenesis operator as part of the action yields modified Friedmann and Raychaudhuri equations with an effective Planck mass M_eff² = M_Pl² - 2λ ∇_μ J^μ for the vector-density realization of the current.
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Cosmological Averaging in Nonminimally Coupled Gravity
In f(R,T) = R + F(T) gravity, nonlinear F makes the averaged modified term differ from F at averaged T, invalidating the common unity-ratio assumption and giving dust nonzero proper pressure.
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Dynamics of the $N$-body system in energy-momentum squared gravity: II. Existence of a Self-Acceleration
In quadratic-EMSG the self-acceleration of self-gravitating bodies vanishes at 1PN order and total linear momentum is conserved, consistent with binary-pulsar bounds.