Returned 95 matches (100 formulae, 108 docs)
    Lookup 1611.870 ms, Re-ranking 11385.948 ms
    Found 17879151 tuple postings, 9680579 formulae, 3799102 documents
[ formulas ] [ documents ] [ documents-by-formula ]

0.2523
-29.0000
5.0000
(12gμν-uμuν)ψψ-i2(uμϵαβγν+uνϵαβγμ)ψαψβuγ

0.2453
-38.0000
5.0000
τμν-12γμνγαβταβ=(δμαδνβ+12γμνhαβ)(Tαβ-12gαβgρσTρσ)

0.2447
-17.0000
5.0000
Gμν=(c1-c3)[12Tμνf+14f2uμuν]

0.2292
-14.0000
7.0000
GAB=emc2(ddsFαβ)u(A)αu(B)β

0.2198
-11.0000
5.0000
Gμν=12Tμνf+14f2uμuν

0.2198
-15.0000
9.0000
FμνJν+1τimp(δνμ+uμuν)Tνγuγ.

0.2038
-25.0000
7.0000
1α(3w2+R2)(w2-R2)uμuν+(w2+R2)2δνμ,

0.1947
-10.0000
8.0000
ρt=(Tαβ-12Tgαβ)uαuβ

0.1947
-30.0000
7.0000
αμFμβ-βμFμα+A-12μ2Fαβ-B2m2Fαβ=0,

0.1947
-33.0000
6.0000
d2xμds2+Γαβμuαuβ=-1Λν(12R+Lm)(uμuν-gμν).

0.1858
-27.0000
2.0000
β22m2(μFμν)2+βm2ϵαβνμpα(βAν)(ρFρμ),
β22m2(μFμν)2+βm2ϵαβνμpα(βAν)(ρFρμ).

0.1858
-29.0000
5.0000
δxμ=εμ+εμxνν=εμ+12εαβ(δαμηνβ-δβμηνα)xν,

0.1858
-29.0000
4.0000
RαβγμuαuβNγ+12(Rαβγ;δμ-Rγδα;βμ)uαuβNγNδ

0.1845
-6.0000
8.0000
Pνμ=δνμ+uμuν

0.1705
-29.0000
4.0000
dQT=-i2(αuβ+βuα-ηαβλuλ)(2atαβ+bηαβtμμ)

0.1696
-7.0000
6.0000
Pνμ=12(δνμ+Rνμ)

0.1696
-8.0000
6.0000
Pνμ=12(δνμ+Rνμ),

0.1696
-24.0000
3.0000
12gαβαxμβxνGμν+i2ψ¯μραDαψνGμν

0.1696
-27.0000
4.0000
dΩ4=8π23,  dΩ4nαnβ=8π215(ηαβ+uαuβ),

0.1696
-31.0000
3.0000
Hμν=-RμαRαν+23RRμν+(12RαβRαβ-14R2)gμν

0.1653
-17.0000
6.0000
12(δμνJαβ+δαβJμν)-12δμνδαβ

0.1653
-25.0000
4.0000
-12(μA~ν)(μA~ν)+eθ2ϵαβαA~μβA~ν~μν

0.1653
-32.0000
4.0000
-12(μA~ν)(μA~ν)+eθ2ϵαβαA~μβA~ν~μν+𝒪((eθ)2),

0.1597
-12.0000
5.0000
-i2(δαμδνβ+ημβηνα),

0.1597
-21.0000
3.0000
Kνμ=κ22(-σ3δνμ+1κ42G~νμ(4)),

0.1597
-36.0000
5.0000
L=12(x˙μ+x˙αAαμ)gμν(x˙ν+Aβνx˙β)+12x˙αgαβx˙β-Uq(x).

0.1597
-40.0000
3.0000
LG=12x˙αgαβ([g])x˙β+12(x˙μ+x˙αAαμ(g))gμν(g)(x˙ν+Aβν(g)x˙β)

0.1593
-16.0000
2.0000
Λνμδνμ+ω2(δαμgβν-δβμgαν)

0.1593
-21.0000
5.0000
P7μναβ=14(δ[μαδν]β+12ϕμναβ).

0.1593
-28.0000
4.0000
Γαβμ=12(uαfβμ+uβfαμ)-12(uα,β+uβ,α)uμ.

0.1593
-33.0000
3.0000
Γαβμ=γαβμ+12(uαfβμ+uβfαμ)-12uμ(uα|β+uβ|α).

0.1524
-15.0000
3.0000
=-i2(uν,μ+uμ,ν-ημνuα,α)

0.1524
-23.0000
6.0000
duνds=-Γαβνuαuβ+μ(lnm)(gμν-uμuν)

0.1524
-35.0000
6.0000
Rμν=8πG(Tαβ(m)+Tαβ(ϕ)+Tαβ(u))(δμαδνβ-12gμνgαβ).

0.1524
-35.0000
5.0000
Kνμ+β23(92Jνμ-Jδνμ-3PανβμKαβ+PαρβρKαβδνμ)

0.1524
-36.0000
2.0000
-Kνμ-223(92Jνμ-Jδνμ-3PανβμKαβ+PαρβρKαβδνμ)

0.1443
-5.0000
7.0000
hνμ=δνμ-uμuν

0.1443
-13.0000
5.0000
Rαβ+12ηαβR=-8πGTαβ.

0.1443
-31.0000
2.0000
Sμν=12TTμν-14TμαTνα+3TαβTαβ-T224gμν,

0.1443
-36.0000
5.0000
            =-κ522(Tνμ-13Tδνμ)+α2κ52κ42(Rνμ-16Rδνμ),

0.1443
-41.0000
2.0000
(Rνμ-12δνμR)+mg22(δνμ+gμαγαν-12δνμgαβγαβ)=8πTνμ

0.1374
-14.0000
3.0000
Δμναβ=12(δμαδνβ+δμβδνα)

0.1374
-18.0000
3.0000
{gαβ,πμν}=12(δαμδβν+δανδβμ),

0.1374
-20.0000
3.0000
12{Jμβ,Jαν}+T2(δμβJαν-δανJμβ)

0.1374
-22.0000
3.0000
-δαβμν,  δαβμν=12(δαμδβν+δανδβμ),

0.1374
-23.0000
3.0000
{hαβ,pμν}=12(δαμδβν+δανδβμ)Δαβμν
{gαβ,πμν}=12(δαμδβν+δανδβμ)Δαβμν

0.1374
-28.0000
3.0000
[1-M42G0]γδμνHαβγδ=12(δμαδνβ+δμβδνα).

0.1374
-31.0000
6.0000
Qνμ=-λδνμ+12[(q-1)μαgαν-12(q-1)αβgαβδνμ]

0.1348
-12.0000
5.0000
fνμ=12sμ+ν12aμ,ν

0.1348
-23.0000
3.0000
Lβα=δβα+12(δναηβμ-δμαηβν)ωμν,

0.1348
-30.0000
3.0000
=12ϵμναβμuνξαβμ+12ϵμναβuνμξαβμ

0.1348
-39.0000
5.0000
Λ(ω)=𝕀+i2ωμνMμνandΛνμ=pμ+i2(ωαβMαβ)νμpν=δνμ+ωνμ

0.1322
-15.0000
3.0000
Δμναβ12(δμαδνβ+δναδμβ)
Δμναβ=12(δμαδνβ+δναδμβ)

0.1322
-21.0000
4.0000
-12VμA-12(Eνμ-A24δνμ)νC,

0.1322
-24.0000
2.0000
dds(mgμνuν)-12m(μgαβ)uαuβ-μm=0

0.1322
-28.0000
3.0000
{gαβ,πμν}={Gαβ,Πμν}=12(δαμδβν+δβμδαν),

0.1261
-14.0000
4.0000
T^αβ=(ρ+pc2)u^αu^β-pg^αβ,

0.1261
-22.0000
3.0000
δ(μν)αβ:=12(δμαδνβ+δμβδνα)

0.1261
-25.0000
3.0000
Gμ+ν(Kμ-νδνμK),y+12δνμ(K2+KαβKαβ)

0.1261
-26.0000
4.0000
Tαβ=T2(:αXμβXμ-12ηαβγXμγXμ:)

0.1261
-28.0000
3.0000
12(νuμ-μuν+uμuααuν-uνuααuμ).

0.1261
-29.0000
2.0000
Rμν=-12gμν-Fαβδμαδνβ-πuαβ2rδμαδνβ,

0.1261
-32.0000
3.0000
d(2KναEαμ-32KEνμ-12KβαEαβδνμ+CανβμKαβ

0.1261
-33.0000
3.0000
ωμν=12(μuν-νuμ)+12(uμuααuν-uνuααuμ),

0.1261
-36.0000
0.0000
Mμναβ=c1gαβgμν+c2δμαδνβ+c3δναδμβ+c4uαuβgμν.

0.1261
-39.0000
3.0000
d2ξads2+8πGN(n-4)(T¯μνuμuν+12T¯)ξa+K¯αβauαuβ=0.

0.1261
-40.0000
3.0000
d2ξads¯2+8πGN(n-4)(T¯μνu¯μu¯ν+12T¯)ξa+K¯αβau¯αu¯β=0,

0.1261
-40.0000
2.0000
β4FμνFμν+12ϵαβνμpα(βAν)Aμ-12m2(ϵαβνμpα(βAν))2

0.1188
-20.0000
5.0000
Tμμ=0    and    TναTαμ=14(TαβTαβ)δνμ

0.1188
-22.0000
4.0000
12(u;μαPμβ+u;μβPμα)-12ΘPαβ,

0.1188
-23.0000
4.0000
-KμαKαν+KKνμ+12δνμ(KαβKαβ-K2)

0.1188
-26.0000
4.0000
Kνμ=κ22(-σ3δνμ-T~νμ+1κ42G~νμ(4)),

0.1188
-26.0000
3.0000
+b42uμαuνβhμν+b5uμμuναhβν-(αβ).

0.1188
-27.0000
2.0000
δνμ+13Rμξααβνξβ+112γRμξααβνξβξγ

0.1188
-27.0000
0.0000
1D-2(δνμ𝒯αβ-δβμ𝒯να-gαν𝒯βμ+gαβ𝒯νμ)
1D-2(δνμTαβ-δβμTνα-gανTβμ+gαβTνμ)

0.1188
-36.0000
4.0000
+12αhβναhμβ-12αhβνβhμα+14νhαβμhαβ

0.1188
-37.0000
4.0000
Mαβ=μνc1gαβgμν+c2δμαδνβ+c3δναδμβ+c4uαuβgμν.

0.1188
-37.0000
2.0000
Kμν=αβc1gμνgαβ+c2δαμδβν+c3δβμδαν-c4uμuνgαβ,

0.1099
-18.0000
3.0000
R¯ανβμ=[δνμηαβ-δβμηαν]2,

0.1099
-26.0000
3.0000
+(ζ-23η)(g(0)αβ+uαuβc2)uσxσ)}
+(ζ-23η)(g(0)αβ+uαuβc2)uσxσ}.

0.1099
-28.0000
2.0000
=-idQTα+2muμ(uμνvαν-uναvμν+uββvβα)

0.1099
-37.0000
3.0000
Πνμ(2)=A1TμαTνα+A2TTνμ+A3TαβTαβδνμ+A4T2δνμ,

0.1084
-16.0000
8.0000
mu˙μ=eFμνuν+23(u¨μ+uμu˙2),

0.1084
-22.0000
3.0000
D2ημDτ2+Rναβμηνuαuβ=qηννμϕ,

0.0992
-18.0000
2.0000
Δμναβ12(δμαδνβ-ηαβημν).

0.0992
-33.0000
4.0000
-12-hhαβαXμβXνgμν+12ϵαβαXμβXνBμν

0.0929
-10.0000
3.0000
du¯μds+Γαβμu¯αu¯β

0.0929
-18.0000
3.0000
    +KKμ+ν12δνμ(KαβKαβ-K2),

0.0929
-18.0000
3.0000
uαμuβνRλραβ=Rαβμνuλαuρβ

0.0929
-28.0000
2.0000
C422M(u)AB(u-ψ)A(u-ψ)B+92M(u)αβuαuβ

0.0929
-37.0000
3.0000
-12αhβναhμβ+12αhβνβhμα-14μhαβνhαβ

0.0929
-41.0000
3.0000
δIb=-μ2Σdthδhαβ(uαuβuμuνhμν-hαβuμuνhμν).

0.0848
-21.0000
4.0000
(8πGc4Tμν+L2R;αβμανβ);ν=0.

0.0848
-28.0000
2.0000
Rμν-12gμνR=8πGc4Tμν+L2R;αβμανβ

0.0661
-20.0000
2.0000
-4m2uνμhμβhνβ+2m2uμuμνu~ν