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Action functionals for relativistic perfect fluids

5 Pith papers cite this work. Polarity classification is still indexing.

5 Pith papers citing it
abstract

Action functionals describing relativistic perfect fluids are presented. Two of these actions apply to fluids whose equations of state are specified by giving the fluid energy density as a function of particle number density and entropy per particle. Other actions apply to fluids whose equations of state are specified in terms of other choices of dependent and independent fluid variables. Particular cases include actions for isentropic fluids and pressureless dust. The canonical Hamiltonian forms of these actions are derived, symmetries and conserved charges are identified, and the boundary value and initial value problems are discussed. As in previous works on perfect fluid actions, the action functionals considered here depend on certain Lagrange multipliers and Lagrangian coordinate fields. Particular attention is paid to the interpretations of these variables and to their relationships to the physical properties of the fluid.

years

2026 3 2025 2

verdicts

UNVERDICTED 5

representative citing papers

Gravitational baryogenesis beyond the spectator approximation

gr-qc · 2026-03-12 · unverdicted · novelty 7.0

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.

A solid unification of the dark sector

astro-ph.CO · 2026-06-25 · unverdicted · novelty 6.0

A generalized Chaplygin-type solid unifies dark matter and dark energy via an early pressureless phase transitioning to a late solid phase that supports acceleration and produces distinct low-redshift perturbation signatures.

Imperfect dark matter with higher derivatives

gr-qc · 2025-10-27 · unverdicted · novelty 6.0

Higher-derivative extension of dark matter yields an imperfect fluid that matches pressureless dust on homogeneous backgrounds but generates acceleration and vorticity to avoid caustic singularities in inhomogeneous cosmologies.

Perfect fluids revisited: an action principle approach

gr-qc · 2026-06-12 · unverdicted · novelty 5.0

A differential-forms-based action principle for perfect fluids is extended to null flows, where the equations force ρ + P = 0 and the stress-energy tensor splits into a variable-pressure vacuum term plus null dust.

citing papers explorer

Showing 5 of 5 citing papers.

  • Gravitational baryogenesis beyond the spectator approximation gr-qc · 2026-03-12 · unverdicted · none · ref 66 · internal anchor

    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.

  • A solid unification of the dark sector astro-ph.CO · 2026-06-25 · unverdicted · none · ref 75 · internal anchor

    A generalized Chaplygin-type solid unifies dark matter and dark energy via an early pressureless phase transitioning to a late solid phase that supports acceleration and produces distinct low-redshift perturbation signatures.

  • Imperfect dark matter with higher derivatives gr-qc · 2025-10-27 · unverdicted · none · ref 6 · internal anchor

    Higher-derivative extension of dark matter yields an imperfect fluid that matches pressureless dust on homogeneous backgrounds but generates acceleration and vorticity to avoid caustic singularities in inhomogeneous cosmologies.

  • Perfect fluids revisited: an action principle approach gr-qc · 2026-06-12 · unverdicted · none · ref 7 · internal anchor

    A differential-forms-based action principle for perfect fluids is extended to null flows, where the equations force ρ + P = 0 and the stress-energy tensor splits into a variable-pressure vacuum term plus null dust.

  • Dynamics of the $N$-body system in energy-momentum squared gravity: II. Existence of a Self-Acceleration gr-qc · 2025-09-21 · unverdicted · none · ref 40 · internal anchor

    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.