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Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha Guzman, Dario Nuñez, Luis Ureña, Argelia Bernal, Ahttp:/www.fis.cinvestav.mx/~tmatos Superstrings Model Braneword Inflation DM SnIa Mass Power Spectrum Angular Power Spectrum Galaxies Formation

From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

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Page 1: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

From Inflation to Galaxies Formation in the Braneword Scenario

Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean,

F. Siddhartha Guzman, Dario Nuñez, Luis Ureña, Argelia Bernal,

Ahttp:/www.fis.cinvestav.mx/~tmatos

• Superstrings Model • Braneword • Inflation DM• SnIa• Mass Power Spectrum• Angular Power Spectrum• Galaxies Formation

Page 2: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

The ModelT. Matos, H. Compean, R. Cordero, in preparation.

• Braneword Scenario:• The radion must be stabilized• Superstrings • V f1exp() + f2exp(-) + …

• V = V0[cosh() – 1] exp()

• H2 = 8/(3Mpl2) (1 + /b)

• Inflation graceful exit• BBN Cosmology • Fix the free constants.

Page 3: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

The CosmologyT. Matos and L. Ureña, Class. Q. Grav. 17(2000)L75

• Dark Matter:•

• V0[cosh() –1]

• Dark Energy:•

• Baryons, • Neutrinos, etc.

0.25

0.7

b 0.05

Page 4: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Scalar Field Fluctuations

T. Matos and L. Ureña, Phys. Rev. D63(2001)063506

Page 5: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Results:

Page 6: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Natural Cut-off

Page 7: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Summarizing

• SFDM model is insensitive to initial conditions

• Behaves as CDM

• Reproduces all the successes CDM above galactic scales.

• Predicts a sharp cut-off in the mass power spectrum

• The favored values for the two free parameters 20 V0 (310-27 Mpl )4 m 10-23 eV

Page 8: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Numerical SimulationsMiguel Alcubierre, F. Siddhartha Guzman, Tonatiuh Matos, Dario Nuñez,

Luis A. Ureña and Petra Wiederhold. Class. Quant. Grav 19(2002)5017.

Page 9: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Oscillatons

Page 10: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Scalar Field Fluctuation=HaloTonatiuh Matos and F. Siddhartha Guzman Class. Q. Grav. 17(2000)L9;

Tonatiuh Matos, F. Siddhartha Guzman and Dario Nuñez, Phys. Rev. D62(2000)061301(R);

Page 11: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

The Newtonian Force

Page 12: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

WIMPs• Density profile in Galaxies

(r) r as r 0• Numerical Simulations -1.5 NFW(r)1/r 1/(r+b)2

• Observations - 0.5 - 0

• Number of Dwarf Galaxies >>

Page 13: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Dwarf Galaxies

Page 14: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

The Critical MassTonatiuh Matos and F. Siddhartha Guzman, Class.Q. Grav. 18(2001)5055

• M 0.1 M2Planck /m

• If m 10-23 eV

• M 1012 Mo

Page 15: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Perfil de densidad

Page 16: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Galaxy Formation at z=7

Page 17: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Metalicity in z=2

Page 18: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Scalar Field DM Cross SectionTonatiuh Matos and Luis A. Ureña, Phys. Lett. B538 (2002)246.

• cosh is renormalizable

• SFDM 22/ m = 82exp(I2)/[64(m)3]

• Reparametrizations factor = exp[2o2/(322)]

• Internal Contraction I 1/(162)

• If 2 MPl

22/ m = 10-25 - 10-23 cm2/GeV

Page 19: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

The Inflaton as SFDMJames Lidsey, Tonatiuh Matos and Luis A. Ureña, Phys.Rev.,D66(2002)023514.

• Braneworld scenario: H2 = 8/(3Mpl2) (1 + /b)

b 2.881051GeV4

• V V0exp((8)/ Mpl)

• i 1.94 Mpl Vi 1.631056GeV4

end 1.90 Mpl Vend 2.331054GeV4

• Mpbh 109 Mpl tevap 10-16 s 0 10-18

Einst < 1.80 Mpl Einst. << b

pbh > 1.06 Mpl

exp > 0.01 Mpl

Page 20: From Inflation to Galaxies Formation in the Braneword Scenario Tonatiuh Matos, Miguel Alcubierre, Ruben Cordero, Ricardo Becerril, Hugo Compean, F. Siddhartha

Conclusion

• The scalar field is a good candidate to be the Dark Matter of the

Universe