In a Thurston-geometry-dependent gravity theory, non-tilted BKS cosmologies admit shear-free perfect-fluid and static vacuum solutions for all topologies, isotropize under positive Lambda except for some Bianchi II cases, and never recollapse when the weak energy condition holds.
General teleparallel quadratic gravity
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Derives a new class of stable models with two massless scalars and one massless spin-2 particle from a rank-2 tensor theory by imposing linearized transverse diffeomorphism invariance and massless spin-2 propagation, using a gauge-invariant Bardeen variable approach.
The scalar-tensor representation of f(Q) gravity reproduces the known ghost/strong-coupling obstruction, so the pathology is not an artifact of the original variables.
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Bianchi cosmologies in a Thurston-based theory of gravity
In a Thurston-geometry-dependent gravity theory, non-tilted BKS cosmologies admit shear-free perfect-fluid and static vacuum solutions for all topologies, isotropize under positive Lambda except for some Bianchi II cases, and never recollapse when the weak energy condition holds.
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Linearized transverse diffeomorphism invariant spin-2 theories via gauge invariants
Derives a new class of stable models with two massless scalars and one massless spin-2 particle from a rank-2 tensor theory by imposing linearized transverse diffeomorphism invariance and massless spin-2 propagation, using a gauge-invariant Bardeen variable approach.
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Physical nonviability of $f(\mathbb{Q})$ in the scalar-tensor representation
The scalar-tensor representation of f(Q) gravity reproduces the known ghost/strong-coupling obstruction, so the pathology is not an artifact of the original variables.
- Primary Constraints of Newer General Relativity