# Cosmology

8 Pages · 2012 · 198 KB · English

Cosmology – HW 2 Solution Key. 1. Please consider the following universes: 1) A flat Ωγ = 1 universe. 2) An empty universe. 3) A flat ΩM = 0.32, ΩΛ = 0.68 Universe. (a) In units of the inverse Hubble constant, how old are each of these universes? Solution: 1) This one can be solved analytica

P H YS 43 2/5 32: C osm olo g y W in te r 20 18 S olu tio n s to H om ew ork 2 P ro ble m 1 (1 5 poin ts ) P le a se co n sid er th e fo llo w in g un iv ers e s: 1 A at = 1un iv ers e 2 An em pty univ ers e 3 A at M = 03 2, = 06 8 univ ers e a ) In unit s of th e in verse Hubb le co n sta n t, how old are ea ch of th ese un iv erse s? b ) For ea ch of th ese univ ers e s, w hat is th e Horiz o n dis t a n ce rig h t now ? c ) For th e co n co rd an ce m od el (# 3), cre a te a plo t of dhor versu s a on alo glo g plo t Be su re t o ex te n d to a= 10 D o yo u notic e an yth in g in te re stin g? a ) The ag e of a univ erse ca n be ca lc u la te d usin g th e in te g ra l fr o m eq u atio n 58 3, an d su bstit u tin g t h e ap pro p ria te para m ete rs t0 = 1 H 0 Z 01 da a 2 + M a + a2 +  q 1 = 1an d = 0, w it h all oth er para m ete rs als o bein g zero t 0 = 1 H 0 Z 01 a da t 0 = 1 2 H 0 2 In an em pty univ erse , = 1, w it h all oth er para m ete rs bein g zero t 0 = 1 H 0 Z 01 d a t 0 = 1 H 0 3 t0 = 1 H 0 Z 01 da M a + a2 q 1 T he re su lt of th is in te g ra l is giv en in eq u atio n 51 0 4 t 0 = 2 3 H 0 1  p s in h ¡ 1  m r ! t 0  0 9 5 H 0 b ) The horiz o n dis tn ace ca n be ca lc u la te d base d on th e in te g ra l in eq u atio n 55 1 d hor( t 0 ) = cZ 0t 0 dt a (t) 1 dhor( t 0 ) = cZ 01 /2H 0 dt 2 H 0t p T he re su lt of th is in te g ra l is co n sis te n t w it h th e re su lt in eq u atio n 55 9 of th e te x tb ook d hor( t 0 ) = c H 0 2 dhor( t 0 ) = c H 0 Z 01 / H 0 d t t d hor( t 0 ) = c H 0 Z 01 / H 0 d t t T his in te g ra l does not co n verg e, im ply in g th at th e horiz o n dis ta n ce in aat univ erse is i n nit e , an ala gou sly to how th e horiz o n on aat su rfa ce wou ld be in  nit e ly fa r aw ay 3 a_ = d a a _ d hor( t 0 ) = cZ 01 da a _ a c H 0 Z 01 da M a + La4 p T his in te g ra l, sim ila r to th e on e fr o m part a has an an aly tic so lu tio n  but it is so m ew hat u nw eil d y to writ e It is ea sie r to use a nu m eric a l in te g ra to r or M ath em atic a

### Tilt Classifications in Perfect Fluid Cosmology

13 Pages · 2017 · 1.12 MB · English

It has been accepted for inclusion in Physics Capstone Project by an authorized administrator of. [email protected] For more information, please contact [email protected] Recommended Citation. Ward, Bryant, "Tilt Classifications in Perfect Fluid Cosmology" (2017). Physics Capstone Project

### A Different Approach to Cosmology

5 Pages · 2009 · 85 KB · English

advocacy by Ryle persuaded Jan Oort, one of the foremost astronomers of the day, that the Universe was evolving rapidly and that the steady-state descrip-

### Cosmic Chemistry: Cosmogony Selected Noteworthy Events in Cosmology

3 Pages · 2000 · 238 KB · English

Harold Ewen and Edward Purcell, closely followed by C. Alex Muller and Jan Oort, detect 21-cm radio radiation emitted by interstellar clouds.

### The Role of Sterile Neutrinos in Cosmology and Astrophysics

35 Pages · 2008 · 516 KB · English

The Role of Sterile Neutrinos in Cosmology and. Astrophysics. Alexey Boyarsky∗†, Oleg Ruchayskiy‡ and Mikhail Shaposhnikov‡. Abstract. We present a comprehensive overview of an extension of the Standard Model by three right-handed (sterile) neutrinos with masses below the electroweak scale.

### Testing loop quantum cosmology

36 Pages · 2017 · 1.18 MB · English

High precision observations of the cosmic microwave background. (CMB) have taught us a lot about the early universe. [Planck2015+BICEP2/Keck]. In fact universe, where quantum gravity effects are expected to be strong Spin foam cosmology [Bianchi, Krajewski, Rovelli, Vidotto; Rennert, Sloan; .

### On the Geometry of Time in Physics and Cosmology

182 Pages · 2009 · 20.21 MB · English

1931 – MNRAS (a British journal) publishes an abridged English translation of Lemaître's 1927 Belgian publication. • 1931 – Lemaître in Shahn Majid in the section “A Hole at the Heart of Science,” constant situation for all of us.

### Research Article Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane

13 Pages · 2015 · 1.76 MB · English

1 Center for Excellence in Astronomy and Astrophysics (CEAAI-RIAAM), study cosmological dynamics of this setup focusing on the role played by

### An Introduction to Loop Quantum Gravity with Application to Cosmology

51 Pages · 2014 · 880 KB · English

spacetime to have the topology M ∼= R × Σ whereas general relativity in its original formulation can have arbitrary topology [4]. Also, note that t is not necessarily a physical time. With the 3+1 decomposition above, a general metric can be written as ds2 = −N2dt2 + hab (dxa + Nadt). ( dxb +

### California Institute of Integral Studies Philosophy, Cosmology

6 Pages · 2010 · 119 KB · English

California Institute of Integral Studies Philosophy, Cosmology, and Consciousness Program Implications of Modern Consciousness Research For Psychiatry and Psychology

### Desert Wisdom and the New Cosmology An interview with Neil Douglas

8 Pages · 2009 · 153 KB · English

The collection of inspirational writings, that used art, poetry, drama, addiction and cynicism that we do. Q: