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## PowerPoint Slideshow about ' COSMOLOGY' - yaron

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Presentation Transcript

### Program

### Hubble’s law & Cosmological principle

### Expansion (or contraction) is inevitable

### Luminosity distance

### Solution to cosmological eqs.

### The future

### Distance - Redshift

### Age of the universe

### The hot universe

### Phase transitionsSymmetry restoring

### Phase transitions

### Particle Horizon

COSMOLOGY

International Meeting of Fundamental Physics

(“Winter” meeting)

Santiago de Compostela, 2007

Eduard Massó

UAB/IFAE

The standard cosmological model

The observed universe

Inflation. Neutrinos in cosmology

Emphasis on “Particles”

Co-moving co-ordinates

On top: peculiar (real) velocities

Cosmological principle

Universe homogenous & isotropic

on large scales

Hubble parameter

(today)

Hubble’s discovery

Hubble’s law:

+

CP

Robertson-Walker metric

(homogeneity & isotropy)

Parameters:

Content

(matter+radiation)

Content too

(cosm. const.)

Parameters

are related

by eqs.

Spatial geometry

E/time in rest frame

Measured flux

(E/time/area)

Luminosity distance

Equation of state

Assume i - dominance and

RD universe

MD universe.

CCD universe

EE

R

R

Diff. eq.

+ Initial conditions

taken today

Eternal Expansion OR Recollapse ?

1

2

3

Co-moving distance to source:

Where:

Can neglect

Distance-redshift relation is function of

look-back time

lifetime

Flat univ.

Our univ.

(Age crisis: Open universe gave too low lifetime)

g= deg. of freedom

number density

energy density

pressure

distribution

2n order

1st order

It is the physical distance photons can travel until a time t

Defines causal distance at a given time t

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