NcHIPertGW: NumCosmo Reference Manual

NcHIPertGW

NcHIPertGW — Perturbation object for gwatic mode only.

Functions

gdouble	nc_hipert_igw_eval_mnu ()
gdouble	nc_hipert_igw_eval_nu ()
gdouble	nc_hipert_igw_eval_dlnmnu ()
void	nc_hipert_igw_eval_system ()
guint	nc_hipert_igw_nsing ()
void	nc_hipert_igw_get_sing_info ()
gdouble	nc_hipert_igw_eval_sing_mnu ()
gdouble	nc_hipert_igw_eval_sing_dlnmnu ()
void	nc_hipert_igw_eval_sing_system ()
gdouble	nc_hipert_igw_eval_powspec_factor ()
NcHIPertGW *	nc_hipert_gw_new ()
NcHIPertGW *	nc_hipert_gw_ref ()
void	nc_hipert_gw_free ()
void	nc_hipert_gw_clear ()

Types and Values

enum	NcHIPertGWVars

Object Hierarchy

    GEnum
    ╰── NcHIPertGWVars
    GInterface
    ╰── NcHIPertIGW
    GObject
    ╰── NcmHOAA
        ╰── NcHIPertGW

Description

This object provides the computation of the gwatic mode for the cosmological perturbations. It solves the equation of motion for the gauge invariant variable (see Vitenti (2013) for notation and details) $$\zeta \equiv \Psi - \frac{2\bar{K}}{\kappa(\bar{\rho} + \bar{p})} + H\mathcal{V}.$$ Its conjugated momentum is give by \begin{split} P_\zeta &= \frac{2\bar{D}^2_\bar{K}\Psi}{x^3H}, \end{split}

The equations of motion in their first order form are \begin{align} \zeta^\prime &= \frac{P_\zeta}{m_\zeta}, \\ P_\zeta^\prime &= -m_\zeta\mu_\zeta^2\zeta. \end{align} The mass $m_\zeta$ and the frequency $\mu_\zeta$ are defined by \begin{align} m_\zeta &= \frac{3\Delta_\bar{K}(\bar{\rho} + \bar{p})}{\rho_\text{crit0} N x^3 c_s^2 E^2}, \\ \mu_\zeta^2 &= x^2N^2c_s^2k^2, \end{align} where $\bar{\rho} + \bar{p}$ is the background total energy density plus pressure, $E^2 = H^2/H_0^2$ is the dimensionless Hubble function squared (nc_hicosmo_E2()), $c_s^2$ the speed of sound, $N$ is the lapse function that in this case (using $\alpha$ as time variable) is $N \equiv \vert{}E\vert^{-1}$, $\rho_\text{crit0}$ is the critical density today defined by $\rho_\text{crit0} \equiv 3H_0^2/\kappa$ and $$\Delta_\bar{K} \equiv \frac{k^2}{k^2 + \Omega_{k0}}.$$

Functions

nc_hipert_igw_eval_mnu ()

gdouble
nc_hipert_igw_eval_mnu (NcHIPertIGW *igw,
                        const gdouble tau,
                        const gdouble k);

FIXME

Parameters

igw	a NcHIPertIGW
tau	$\tau$
k	$k$

Returns

FIXME.

nc_hipert_igw_eval_nu ()

gdouble
nc_hipert_igw_eval_nu (NcHIPertIGW *igw,
                       const gdouble tau,
                       const gdouble k);

FIXME

Parameters

igw	a NcHIPertIGW
tau	$\tau$
k	$k$

Returns

FIXME.

nc_hipert_igw_eval_dlnmnu ()

gdouble
nc_hipert_igw_eval_dlnmnu (NcHIPertIGW *igw,
                           const gdouble tau,
                           const gdouble k);

FIXME

Parameters

igw	a NcHIPertIGW
tau	$\tau$
k	$k$

Returns

FIXME.

nc_hipert_igw_eval_system ()

void
nc_hipert_igw_eval_system (NcHIPertIGW *igw,
                           const gdouble tau,
                           const gdouble k,
                           gdouble *nu,
                           gdouble *dlnmnu);

FIXME

Parameters

igw	a NcHIPertIGW
tau	$\tau$
k	$k$
nu	$\nu$.	[out]
dlnmnu	FIXME.	[out]

nc_hipert_igw_nsing ()

guint
nc_hipert_igw_nsing (NcHIPertIGW *igw,
                     const gdouble k);

nc_hipert_igw_get_sing_info ()

void
nc_hipert_igw_get_sing_info (NcHIPertIGW *igw,
                             const gdouble k,
                             const guint sing,
                             gdouble *ts,
                             gdouble *dts_i,
                             gdouble *dts_f,
                             NcmHOAASingType *st);

nc_hipert_igw_eval_sing_mnu ()

gdouble
nc_hipert_igw_eval_sing_mnu (NcHIPertIGW *igw,
                             const gdouble tau_m_taus,
                             const gdouble k,
                             const guint sing);

FIXME

Parameters

igw	a NcHIPertIGW
tau_m_taus	$\tau - \tau_s$
k	$k$
sing	singularity index

Returns

FIXME.

nc_hipert_igw_eval_sing_dlnmnu ()

gdouble
nc_hipert_igw_eval_sing_dlnmnu (NcHIPertIGW *igw,
                                const gdouble tau_m_taus,
                                const gdouble k,
                                const guint sing);

FIXME

Parameters

igw	a NcHIPertIGW
tau_m_taus	$\tau - \tau_s$
k	$k$
sing	singularity index

Returns

FIXME.

nc_hipert_igw_eval_sing_system ()

void
nc_hipert_igw_eval_sing_system (NcHIPertIGW *igw,
                                const gdouble tau_m_taus,
                                const gdouble k,
                                const guint sing,
                                gdouble *nu,
                                gdouble *dlnmnu);

FIXME

Parameters

igw	a NcHIPertIGW
tau_m_taus	$\tau - \tau_s$
k	$k$
sing	singularity index
nu	FIXME.	[out]
dlnmnu	FIXME.	[out]

nc_hipert_igw_eval_powspec_factor ()

gdouble
nc_hipert_igw_eval_powspec_factor (NcHIPertIGW *igw);

nc_hipert_gw_new ()

NcHIPertGW *
nc_hipert_gw_new (void);

Creates a new NcHIPertGW object.

Returns

a new NcHIPertGW.

[transfer full]

nc_hipert_gw_ref ()

NcHIPertGW *
nc_hipert_gw_ref (NcHIPertGW *pa);

Increases the reference count of pa .

Parameters

a NcHIPertGW.

Returns

pa .

[transfer full]

nc_hipert_gw_free ()

void
nc_hipert_gw_free (NcHIPertGW *pa);

Decreases the reference count of pa .

Parameters

a NcHIPertGW.

nc_hipert_gw_clear ()

void
nc_hipert_gw_clear (NcHIPertGW **pa);

Decreases the reference count of *pa and sets *pa to NULL.

Parameters

a NcHIPertGW.

Types and Values

enum NcHIPertGWVars

Perturbation variables enumerator.

Members

NC_HIPERT_GW_RE_ZETA	$\text{Re}(\zeta)$
NC_HIPERT_GW_IM_ZETA	$\text{Im}(\zeta)$
NC_HIPERT_GW_RE_PZETA	$\text{Re}(P_\zeta)$
NC_HIPERT_GW_IM_PZETA	$\text{Im}(P_\zeta)$