8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

1/28

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

2/28

Janmg dkaf vbi~vfbf}}

Vbi~vfbf}} i} kbf kc |df ek}| zfenzgnjaf xzkxfz|if} kcman}}imna

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

3/28

Ib|k |df di`dfz%liefb}ikbna pkzal

Ek|isn|ikb}

]|zib` + E |dfkzy

Anz`f Ft|zn Liefb}ikb}

Vblfz}|nbl `znsi|y nbl janmg dkaf} jf||fz?, 5 - kc liefb}ikb} n} n |vbnjaf xnznef|fz

Pdn| xzkxfz|if} nzf lfx+iblfx kc , ;

Bn|vzna |dfkzf|imna mvzik}i|y + En|dfen|imna Xdy}im}

$m)

$n)

$j)

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

4/28

Janmg dkaf} ibL2< \nb`dfzaibi >93=Eyfz}'Xfzzy >943

]mdpnz}mdial i} fn}y

Gfzz i} dnzlfz" Ib , |dfzf nzf }fsfzna

iblfxfblfb| zk|n|ikb xanbf}?

Eyfz}Xfzzy ckvbl zk|n|ib` janmg dkaf }kav|ikb} pi|d

nb`vanz ekefb|ve ib nb nzji|znzy bvejfz kc xanbf}

;l

;>

;b

;7 ;F

;t

^T> ) x

l

7 b

^^8> A

^>

l j7 bA >^ p7 >L

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

5/28

Eyfz}%Xfzzy janmg dkaf}

M7 > \dfy naa dnsf }xdfzimna |kxkak`y Mkb}ilfz n }ib`af }xib?

O

OL 5 6

L 3

vxxfz $ft|zfena) aiei|

kb / i} }ib`vanz

bk vxxfz aiei| kb /ckz citfl %

$ftxfm| va|zn%}xibbib` ib}|njiai|yx Ylybneimna vxxfz aiei| kb /)

OL 5 < vxxfz $ft|zfena) aiei|kb / i} zf`vanz

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

6/28

I} |di} naa;

I} vbi~vfbf}} n `fbfzim xzkxfz|y kc janmg dkaf} ,

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

7/28

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

8/28

Ef|zim \J},J|

M>

| pL) pl >

Lpl A *L

J pL) l A Ml

^T> ) J pzL

J p;L

p

^8 ` xl A z

J pzL^

P >

Ax >

p; zL>J p;L

u

| pzL

J pzL>

^z>

| pzLA

^;>

| p;LA

| p;L

J p;L/>

U

/

;

Xnznef|fz} ! ! :

f~viaijzive Y$)

ZF'Zfnaa :88>czke Pimg%zk|n|fl ckze ib

Mdnejaib'ZFLkpgfz f| na

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

9/28

*Zib` mkkzlibn|f}* TY

; ) wJ|Z

z ) wJ|Z

z ) zI

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

10/28

Xdn}f} nbl ]dnxf} Dkzikb nzfn s} }xib! ckz citfl en}}

|dib janmg zib`

l

cn|janmg zib`

EX janmg dkaf

$bngfl }ib`vanzi|y)

$}akpf}| zib`)

>{b>

i>

yI

= liccfzfb| janmg dkaf} pi|d |df }nef snavf kc% /

O

Dkafy |zibi|y

8/3/2019 Roberto Emparan- Einstein in Mordor: Black Rings in Hi-D General Relativity

11/28

K|dfz xzkxfz|if}

O