primordial.equations.N package

Submodules

primordial.equations.N.cosmology module

class primordial.equations.N.cosmology.Equations(H0, Omega_r, Omega_m, Omega_k, Omega_l)

Bases: primordial.equations.cosmology.Equations

Cosmology equations in time

Solves background variables in cosmic time for curved and flat universes using the Friedmann equation.

Independent variable:

N: efolds

Variables:

t: cosmic time

Methods

H(t, y)	Hubble parameter
H2(t, y)	The square of the Hubble parameter, computed using the Friedmann equation
__call__(N, y)	The derivative function for underlying variables, computed using the Klein-Gordon equation
add_variable(*args)	Add dependent variables to the equations
set_independent_variable(name)	Set name of the independent variable
sol(sol, **kwargs)	Post-process solution of solve_ivp

class primordial.equations.N.cosmology.initial_conditions(Ni)

Bases: object

Methods

__call__

primordial.equations.N.inflation module

class primordial.equations.N.inflation.Equations(K, potential)

Bases: primordial.equations.inflation.Equations

Background equations in time

Solves background variables in cosmic time for curved and flat universes using the Klein-Gordon and Friedmann equations.

Independent variable:

N: e-folds (log a)

Variables:

phi: inflaton field dphi: d/dN (phi) t: cosmic time

Methods

H(t, y)	Hubble parameter
H2(N, y)	The square of the Hubble parameter, computed using the Friedmann equation
V(t, y)	Potential
__call__(N, y)	The derivative function for underlying variables, computed using the Klein-Gordon equation
add_variable(*args)	Add dependent variables to the equations
d2Vdphi2(t, y)	Potential second derivative
dVdphi(t, y)	Potential derivative
dlogH(N, y)	d/dN log H
inflating(N, y)	Inflation diagnostic
set_independent_variable(name)	Set name of the independent variable
sol(sol, **kwargs)	Post-process solution of solve_ivp

H2(N, y)

The square of the Hubble parameter, computed using the Friedmann equation

dlogH(N, y)

d/dN log H

inflating(N, y)

Inflation diagnostic

class primordial.equations.N.inflation.Inflation_start_initial_conditions(N_e, phi_e)

Bases: object

Methods

__call__

primordial.equations.N.mukhanov_sasaki module

class primordial.equations.N.mukhanov_sasaki.Equations(K, potential, k)

Bases: primordial.equations.N.inflation.Equations

Methods

H(t, y)	Hubble parameter
H2(N, y)	The square of the Hubble parameter, computed using the Friedmann equation
V(t, y)	Potential
__call__(N, y)	The derivative function for underlying variables, computed using the Mukhanov-Sasaki equation equation
add_variable(*args)	Add dependent variables to the equations
d2Vdphi2(t, y)	Potential second derivative
dVdphi(t, y)	Potential derivative
dlogH(N, y)	d/dN log H
inflating(N, y)	Inflation diagnostic
set_independent_variable(name)	Set name of the independent variable
sol(sol, **kwargs)	Post-process solution of solve_ivp

class primordial.equations.N.mukhanov_sasaki.Inflation_start_initial_conditions(N_e, phi_e)

Bases: primordial.equations.N.inflation.Inflation_start_initial_conditions

Methods

__call__

Module contents