Temporal evolution of the spectral parameters. Each parameter in the leftmost column evolves as a power law in time, with the power-law index in the coasting and accelerating regimes given in the centre and right columns, respectively.
Quantity . | Coasting (f > γ2) . | Accelerating (f < γ2) . |
---|---|---|
νm2 | 0 | |$\frac{s-\ell }{\ell +2}$| |
νm3 | |$\frac{-4(s-\ell )}{s+2}$| | |$\frac{-(s-\ell )}{\ell +2}$| |
νc | −2(k − 1) | |$-2(k-1) + \frac{5(s-\ell )}{\ell +2}$| |
Lν, max2 | (k − 1) + ℓ | |$(k-1)+s -\frac{3(s-\ell )}{\ell +2}$| |
Lν, max3 | |$(k-1) + \ell + \frac{s-\ell }{s+2}$| | |$(k-1)+s-\frac{2(s-\ell )}{\ell +2}$| |
Quantity . | Coasting (f > γ2) . | Accelerating (f < γ2) . |
---|---|---|
νm2 | 0 | |$\frac{s-\ell }{\ell +2}$| |
νm3 | |$\frac{-4(s-\ell )}{s+2}$| | |$\frac{-(s-\ell )}{\ell +2}$| |
νc | −2(k − 1) | |$-2(k-1) + \frac{5(s-\ell )}{\ell +2}$| |
Lν, max2 | (k − 1) + ℓ | |$(k-1)+s -\frac{3(s-\ell )}{\ell +2}$| |
Lν, max3 | |$(k-1) + \ell + \frac{s-\ell }{s+2}$| | |$(k-1)+s-\frac{2(s-\ell )}{\ell +2}$| |
Temporal evolution of the spectral parameters. Each parameter in the leftmost column evolves as a power law in time, with the power-law index in the coasting and accelerating regimes given in the centre and right columns, respectively.
Quantity . | Coasting (f > γ2) . | Accelerating (f < γ2) . |
---|---|---|
νm2 | 0 | |$\frac{s-\ell }{\ell +2}$| |
νm3 | |$\frac{-4(s-\ell )}{s+2}$| | |$\frac{-(s-\ell )}{\ell +2}$| |
νc | −2(k − 1) | |$-2(k-1) + \frac{5(s-\ell )}{\ell +2}$| |
Lν, max2 | (k − 1) + ℓ | |$(k-1)+s -\frac{3(s-\ell )}{\ell +2}$| |
Lν, max3 | |$(k-1) + \ell + \frac{s-\ell }{s+2}$| | |$(k-1)+s-\frac{2(s-\ell )}{\ell +2}$| |
Quantity . | Coasting (f > γ2) . | Accelerating (f < γ2) . |
---|---|---|
νm2 | 0 | |$\frac{s-\ell }{\ell +2}$| |
νm3 | |$\frac{-4(s-\ell )}{s+2}$| | |$\frac{-(s-\ell )}{\ell +2}$| |
νc | −2(k − 1) | |$-2(k-1) + \frac{5(s-\ell )}{\ell +2}$| |
Lν, max2 | (k − 1) + ℓ | |$(k-1)+s -\frac{3(s-\ell )}{\ell +2}$| |
Lν, max3 | |$(k-1) + \ell + \frac{s-\ell }{s+2}$| | |$(k-1)+s-\frac{2(s-\ell )}{\ell +2}$| |
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