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

Cosmology free download

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 aat univ erse is i n nit e , an ala gou sly to how th e horiz o n on aat 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

------------- Read More -------------

Download cosmology.pdf

Cosmology related documents

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: