Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://chronos.msu.ru/old/RREPORTS/shestakov_model.pdf Äàòà èçìåíåíèÿ: Sat Dec 14 13:24:40 2013 Äàòà èíäåêñèðîâàíèÿ: Fri Feb 28 20:30:56 2014 Êîäèðîâêà: Ïîèñêîâûå ñëîâà: m 13

. .., « » , .
e-mail yurshestak@yandex.ru

(GTR) , , : «» ; ; ; ­ «» . GTR. . .
PACS: 52, 53

1. . . 2. 3. 4. 5. « » . 6. 7. 8. 9. . 10. 11. . 12. . . . , , , . . .. .[1] , , , . , ,


« » . «» , . z 108 . 1016 K 0 . - , , , T , z 100T K 0 ( 3 ). , TBr 1016 K T 107 K 0 , z 109 . , . « » . / 2 ln z 20.7 . , . , z 2 . , z , z , , z . z 109 z 2 1018 . , . , . . , . , , dis 10 max max z 0.63 * 10 / N . N - , . , , max 109 m . . , , . , ,


, ­ « ». : : , , , . , . . r1 , t1 r2 , t2 , , , , Hri c . H - s c 2 t 2 r 2 (1-1 ) . . . , , , .
4 GM g S

(1-2)

. S S R M E c 2 ,
4 G
u c2



u - . ( . 9). (1-2) Es S S R .
g 4 G Es c S
2





4 GM S

(1 -3 ) (1 -4 )


F E c2 g
E / c 2 mg - . (1 -4) dR , FdR E c 2 gdR


(1-5) R R E 1 R ln 2 gdR 2 R c c ER

dE / E gdR c

2

(1-5) (1-6) (1 -7)







.
E E e


- .

(1-5) , . (1-7) (1-8) / e z (1-8) , . (. 1 .) .1. (1-8) dt / dt e (1-9) , , , . N Rad N Acc , . Acc Rad .
tRad N t Acc N
Rad Acc

, ,



Rad Ac c





Acc Rad

( ), . , (.2.) [2] . , ( 1). , , , .
dx dy dz dt0 e dx0 dy0 dz0 dt dR dt0 e dR0 dt


z

(1-10) (1-11 )

. 2.

x , y , z , t - ;

x0 , y0 , z0 , t0 - .

(1-10) ,


J

z 1 0 0 0 0 z00 0 0 0z0 00z

z

2

(1-12)
0 0 0 0
2

,
g ik dx dx g dx 0l dx 0m
i k lm 0


z 2 0 0 0 0 z 0 0



2



z 0

0 z

(1-13 )
2

,
D x, y e D ( x0 , y0 )
2

(1-14) (1-15 )



D x, y , z e D ( x0 , y0 , z0 )

3

, , , ( ) . . , « ». . , , . , , , . l / l0 e , , , dR / dR0 e 1 . , , . R0 , t0 , . z e , . M 1 x1 , y1, z1 M 2 x2 , y2 , z2 , ,


M1 M 2 « », .
M
2

d M 1, M

2



c d
M
1

(1-16)

, , , . . , . . , . . , . V1 / V2 e . . , , . , , . , ( ) ( ). , ( ), , , e . . . , L0 2 R0 L 2 R0e (1-17) R0 - . (1-14). 2 (1-18) S 4 R0 e 2 .3 . (1-19 ) REff R0e (1-17 ) (1-18)
1 2


L 2 R

Eff

S 4 R

2 Eff

(1-20 ) (1-21 )

.3. . 2. . (1-18)
g MG 2 R0 e2


(2-1)


,

g

c 2d dR0 d c2 dR0 dR dR0e
MG dR0 dR rm 20 2 2 R0 R0

(2-2)

(2-1 ) (2-2)
e d

(2-3) .

rm

MG - 2
MG ln 1 R0 c 2 r ln 1 m R0 rm 1 R0


(2-3), (2-4) (2-5) (2 -6 )

e



(2-5) (1-19) ,
R
Eff

R0e

R0 rm

(2-1)
g MG 2 REff

, ,
g e
2



i

2 2 R0i M iG 1 Vi / c 3 V RV R0i 1 i 0i i c R0iVi

(2-7)





1 g e 2 0







dR0

(2-8)

R0i Ri Vi ti - i- , ;
1 Vi V 1 i c / c2 R0iVi R0iVi
2







R0V ; cos . (. 4 ) R0V

. 4 , . .
L mc
2

1
2

2 2 U mc 2 1 2 E E c2 c
1





(2-9) (2-10 )

(1-7)

L mc

2 E c2





e



1

(2-5)
L mc
2

1

2 r E m 2 c R0

(2-11)


d dL dL dL e dt d dR dR0

.
dP Er e 2m e dt R0
2

MG E / c MGE 2 R0 2c 2 REff
2

2



(2 -12)


MG E / c dP 2 dt REff



R R

(2-13)

[7] ( 7).
F F m a




, (1 -7 )
E E exp 2 mc 2 exp c
E mc
2

2 2 mc 1 2 c
1 2 1 2 2 c c

[3 ] ( (88-9))
g
00

,

g

00

, . , . ( 1 )
Re Rv c 2 d t 2rg c 2d

t

2 rg

ln

(2 -14) (2-15 )



3.
L 2 REff 2 S 4 REff
R
Eff

(3-1) (3 -2 ) (3-3)

g

MG 2 REff

MG ; R0 - (3 -4 ) 2 rm
R0 rm ; rm

. R0 , . .
4 V rm 3
3

(3 -5)

, , . (3-6) .
av
M 3c 2 V 4 Grm
2

(3 -6 )

e z , (3-6) . . . M U 2.4 *1053 kg . (2-4) rm 1.8 *1026 .


, (3-2) av 1026 kg / m3 . , 1026 kg / m 3 . , , . . . R zR0 ; z - .
dz dR dz dR z 0 R0 dt dt dt dt (3-3) dR dt V R0

(3-7)

z R0 dz dt .5 . , R (.5)

MG 4R 3G 4GR R R 2 8G R
26
2

(3-8)
3

(3-9) , 10 kg / m . 8G R 2.26 * 1018 R (3-10) 8G 2.26 * 1018 s 1 (3-11 ) . z . - - z . z 2.3 *1018 1 (3-12) 18 18 1 z 2.3 2.26 10 4.56 *10 (3 -13) mg m , , rm EU . . REff R00 rm . R00 - . R00 0 REff rm . ,


, , . . , ( 2).
Pg
max

rm

av

c

2

(3-14 )

( 2) , , , , . , z 2 . z z . 2 s rm / 3 . ( 6 ) z , , .
P

T 4 av c c

2

(3-15) (3 -16)

(3-6)
TBal 1.61 *1013 / N


N M / M .
T 1 1.61*1013 3 *10 z N 300 N T0
2 2 21

T0 300 K - , .

ma x



2.9 * 10 3 1.8 * 10 1.61 * 1013 / N

16

N



, ,
m z
max



3 * 10 21 1.8 * 10 N

16

N 5.4 * 105 / N



(3-17 )

N 3 *1011 . ( 3) Tbr 1016 K 0 , . (.6) . , .








ma x

0 zmax

.6 ­ ; ­ , ; ­ . . . , . , , ­ . . , . 4. . . ,
2 MG R0 rm R0 rm

2

(4-1)

,
1 rm R0 rm

(4-2 )

R0 0 . , . 7 . (.7)



P h MG REff 2 c 2 R Ef f c
P r m P R Ef
f

(4-3) (4-4)



, ( . 8 ).
1 dl d d rm 1r c rm c rm r t 1 ct 2 m2 c c m 2 dR0 dR0 dR0 R0 z R0 zR0 R0 rm R0 R0

r r dl dl dR0 m 1 m dR dR0 dR R0 R0

1



rm REf

.8
f

(4 -4) , . (.9) . ­ .9
z

e



(4-5)

« ».

5. « » .
­ « » - [4 ]. .
dEG dEG dR0 2 MG dR dR0 dR R0 rm 3 1 rm R0



(5 -1 )

, R0 rm
dEG 2 MG 3 dR R0

(5-2)

, R0 rm
dEG 2 MGR 4 dR rm
0

(5 -3 )

R0 0 , . . , R0 rm , 6 .







2







sat MG r 2 , sat 2 c 2 m REff REff REff r R0 rm m 1 sat REff




2rm GM 2 3 c c c rm
3

(5-4) (5 -5)

4.3 *10 sec 1,5 * 10 3 ~30 0 z . . . z . : 0 z 0 / z . 6 . , R dz dt V 4 - .
1 2 const 2 t 2

.
1 2 2 t 2

( 5 )
GM 2 6 r1 I c5
4

(6-1)

. 7. , divAdV AdS
V S

. , , , . . , , , . .


10 . , , . , . .


V

div dV z


S

dS z

(7-1)

. 10 . 11 11 . , . . , . , , , ­ « » . 8 . r r , , .
r
GM r r



, M r r


Vr r . ? . m
, 2

E mc 2 exp . , Esat mc 2 exp ( 4). , , . , exp 108 . 104 . « » . , 104 ( ). - . 104 mn c 2 1012 , . , .. 104 . , . , , , r c 2
Vr r . , Vr

. , , . , « » , , M r r . .


, Vr r . 2 M r r . , , [5]. , , , « » . 9. . , . . . ­ . . «» , «». ,
h e h Low Upp c c


.
PLow P ppe U


(9-1) . P pp 2 P pp (9-2) U U PLow 2 PLow (9-3)
P 2 PUpp e


2 P pp 2 P U U

pp



e



1 2 P pp U

,
tUpp t
Low

e




FUpp 2nUpp P pp U dtUpp dP Low 2nLow PLow dtLow dP U
pp

(9-4) (9-5)

FLo

w

nUpp - . (9-6) nLow nUpp e ,


FUpp dtUpp

dP U dtU

pp

dtUpp 2nUpp P pp dtU U
Low

pp

(9-7) (9-8) (9-9)

pp

FLowdt

Low



dPLow dt dt Low

2n

Low Low

P dt

Low


n
Low

dt

Low

nUppdtUp

p

(9-1) PLow PUppe
FLowdt
Low



(9-9)


2n

Low Low

P dt

Low

2nUpp dtUpp P pp e U

FUppdtUpp e



(9-10)


F FLow FUpp FU
pp



e



1 FUpp 2 Pn

. P h l .

E h

(9-11) (9-12) (9-13) (9-14) (9-15 ) (9-16)
h

B

E h B E n 2l 2lh

(9 -12) (9-15 ) (9-11)
F 2 Pn 2 P

E E E m 2lh l

, k


.
h P cos h cos . . Eff cos

k cos cos .


B E 2l 2l cos 2lh cos E F 2 P cos n 2 P cos m 2lh cos
n

, , . F m (9-17 ) : . , « » .


· · · · ·

· · · · · · ·

10. . ­ . ­ . . ­ , . . z 2 ­ . ­ . . . [6].

11. 1 .( ) , .
t
2 rg c


ln

Re R 2

v

. R (.1 ) R0 .

. 1


,
dR dR0 exp




ds 2 c 2d 2 exp 2 dR0



2

0

(1)


1 d exp dR0 c


- . ­ R

1 dt exp 2 dR0 c


arccos R


dR0 d ; cos2 dR d exp cos2




d dR d exp c c cos2




dt d exp

d exp 2 c cos 2


MG cos ln 1 c 2


d dt c cos 2
MG cos d 1 c 2 cos 2
dt 0
2

2MG cos 1 c 2


d c cos 2


t
rg d d 2 MG cos 2 MG d 2 c co s 2 c co s c 2 c c co s
d ln tg i co s 4 2 0 R tg i i 4 2
i

,




i

2 Ri

,


t

2 rg c

ln

Re R 2

v

(2 )

.( ) (2 )
c
dt 2rg 2d

(3)



t . 2

. . .
P F dt

F

MGh c cos
2 2

cos

MGh cos3 ; 2c 2


dt

d c cos2

MGh 2 4 MGh 2rg h P 2 3 cos * d c 3 c c 0



P 2 rg P

, . 2 .
Pg GM / rm c2 Mc 2 GM / rm av c 4Grm 2 4 rm 3
2

2

Pg av c

(4 )
c 4Grm
4 2

Pg av c 2

(5)

,
c PT nkT .

P T 4 .


2
TBa
l

4 TBal 4

(6)
3

(7)
20


av
c2 9 * 1016 1.43 * 10 2 11 6 2 2 4Grm 4 * 6, 67 * 10 2, 25 * 10 N N

,
TBal
4

3 1.43 *1020 3 1.43 * 1020 27 *1024 4 4 1, 61*1013 / N 2 2 8 N N 5.7 *10

(8)

T0 300K 0 , T 1.61 *1013 / N 107 K 0
T 1 1.61 *1013 3 * 10 z N 300 N T0
2 2 21



ma x



2.9 * 10 3 1.8 * 10 1.61 * 1013 / N

16

N



, ,
m z
max



3 * 10 21 1.8 * 10 N

16

N 5.4 * 105 / N



(9 )

, N 3 *1011 .
T 1.61 * 1013 / N 3 * 107 K
0


max 1.8 *10165.4 *105 9.7 *10 11 m

( 3) Tbr 1016 K 0 , . (9), « » . .
TBal 1.61 * 1013 / N

z 2 42 z z.
Tmin 2.725 z




2 13 Tbal 1.61 * 10 z 2.725 2.725 N

26 0.35 * 10 / N

2






ma x



2.9 * 10 T

3



2.9 * 103 N 1.8 * 10 1.61 * 1013

1 6

N



(11) , . , , .
ma x

z 1.8 * 10

1 6

N * 0.35 * 1026 / N 0.63 * 1010 / N



.3 . ,
N
T ,

h 2 c exp 1 kT
2 2

1

(1)

z , dis z .
z
di s

, z z , z
N
T ,
di s

2z

3

2 2 di s

hz dis c exp 1 kT

1

(2 )

z . , z ,
N
T ,
di s

2z

2

2 2 di s

hz dis c exp 1 kT

1

(3)

z . , T 107 K o , , z 109 h kT , (1)
N
T ,

2 2 c

2

kT h

109 h dis kT (3)
N
T ,
di s

2z 2

2 2 di s

c

dis


,
T
Br


TBr

z2
z 2h k
dis

kTBr h dis
zh zT 1016 K k

(4)

. ,
2.9 *103 z 0.29m T z 100T

(5) TBr 1016 K z 109 T 107 . 2, . 4. .
2 MG r 2 , 2 c 2 m R Ef f REf f R Ef

.


f

rm 2 . 2 R0 rm
2

Esat

mc

2

1 2 c



mc 2 . R0 R0 rm

, exp 1
E
sat

rm R0 rm R0 R0
2

mc

exp mc

2

z

z , , . , , . . . , , , . . , . 5. M r1 r 2 . r -


. R r1 R 2 r12 R
1 1 MG R r sin sin t R c R r sin sin t R c 1 1



2 MG R
2 r sin 2 sin 2 t R c 1 1 R2

(1)

- .

2 MG R

(2 )

.
r ~ 1 2 sin2 sin2 t R c R
2



(3) (4)


R n T cn
2

2

r 2 ~ 12 2 2 sin 2 sin 2 t R c 4 n





(5)


EG
2 ~ d r1 3 sin 2 sin 2 t R c dR 4 2 n 2 c 3

(6)


2 W kE G k

2 r1 6 sin 4 sin 2 2 t R c 16 4 n 4 c 6

4

(7)

,

sin x
2

Avt

0.5
4


2 r1 6 sin 4 32 4 n 4 c 5 1 2 MG k 8G R
S Wc k



S



1 4M 2G 2 2 r1 6 sin 4 8G R 2 32 4 n 4 c 5 4 M 2G 6 r1 S 2 sin 4 R 64 5n 4 c 5 MG 3 4 r1

4

(8) (9)


(8 ) R , ds 2R 2 sin d
GM r1 1 GM 2 6 r1 I 2 sin 5 d 32 4 n 4 c 5 0 30 4 n 4 c5
2 6 4

2

4

(10)

r1 r 2 ,
I GM 2 6 r1 c5
4

[3 ] (.455 1 .) ,

1 480 4 n
4

n . 31. r rm 2 * 1011 m , M 1030 kg
I 6,4 6,67 * 10
11

* 10 60 1.5 * 10 2 4 3 * 1 0 40

3 6

2

* 101

14



3.2 * 10

36

6. . 4, , .
d GM r rm 2 m d c REff REff R0 rm

. / 2 , ,
d rm R0 1 2 1 r 1 z R0 4 1 m R0 rm / 3 d R0 rm R0 rm z 2 4 R0 7 F F m a
2 rm / 3



(1)



dp d d m m dt dt dt a m 3 2 a a c a

d dt 3 m c

d m dt a a c

a m m 3



d 3 2 a c dt a a





F m 3 a a





(2 )



F m 3 m 3



a



a m 3 a a a m










32 F F a m 3 m 3 2



a



a











(3)

m 3 F / a (2) F m 3 a a F / a F











a m a F m a F m a





(4)

12. : [1] .., .. . .: , 1989. [2] http://lib.ru/TEXTBOOKS/TEACH/Phys ics/node4.html [3] .. , .., .2, , , «», 1988. [4] http://elementy.ru/news/164824 [5] http://elementy.ru/lib/25560/25564 [6] Physical Interpretations of Relativity Theory. Proceedings of XV International Scientific Meeting PIRT-2009 Moscow 6-9 July 2009 SHestakov Yu. I. The Scalar Model of The field of The Gravity. pp.462-46 6 [7] .. 1989 . 158 , . 3