Möbius inverse problem for distorted black holes

H. Rosu

doi:10.1007/bf02755187

ON THE REMOTE SENSING OF HAWKING GREY PULSES

Modern Physics Letters A ◽

10.1142/s0217732398000759 ◽

1998 ◽

Vol 13 (09) ◽

pp. 695-699 ◽

Cited By ~ 1

Author(s):

HARET C. ROSU

Keyword(s):

Remote Sensing ◽

Black Holes ◽

Black Hole ◽

Surface Temperature ◽

Short Note ◽

Spectral Measurements ◽

Temperature Distributions ◽

Inverse Transform ◽

Möbius Inverse

This is a short note on the black hole remote-sensing problem, i.e. finding out "surface" temperature distributions of various types of small (micron-sized) black holes from the spectral measurements of their Hawking grey pulses. Chen's modified Möbius inverse transform is illustrated in this context.

Download Full-text

ON ISSUES IN SWISS CHEESE COMPACTIFICATIONS

Modern Physics Letters A ◽

10.1142/s0217732308028788 ◽

2008 ◽

Vol 23 (36) ◽

pp. 3031-3047 ◽

Cited By ~ 1

Author(s):

AALOK MISRA

Keyword(s):

Inverse Problem ◽

Black Holes ◽

Flux Compactifications ◽

Large Volume ◽

Type Ii ◽

Swiss Cheese ◽

Slow Roll ◽

Slow Roll Inflation

We give a brief review of our previous works.1,2 We discuss two sets of issues. The first has to do with the possibility of getting a non-supersymmetric dS minimum without the addition of [Formula: see text]-branes as in KKLT, and axionic slow-roll inflation, in type II flux compactifications. The second has to do with the "Inverse Problem"3 and "Fake Superpotentials"4 for extremal (non)supersymmetric black holes in type II compactifications. We use (orientifold of) a "Swiss Cheese" Calabi–Yau5 expressed as a degree-18 hypersurface in WCP4[1, 1, 1, 6, 9] in the "large-volume-scenario" limit6 for the former.

Download Full-text

ON ARITHMETIC DETECTION OF GREY PULSES WITH APPLICATION TO HAWKING RADIATION

Modern Physics Letters A ◽

10.1142/s0217732302007430 ◽

2002 ◽

Vol 17 (21) ◽

pp. 1377-1381 ◽

Cited By ~ 3

Author(s):

HARET C. ROSU ◽

MICHEL PLANAT

Keyword(s):

Remote Sensing ◽

Black Holes ◽

Black Hole ◽

Temperature Distribution ◽

Hawking Radiation ◽

Small Black Hole ◽

Surface Temperature Distribution ◽

Inverse Transform ◽

Möbius Inverse ◽

Horizon Temperature

Micron-sized black holes do not necessarily have a constant horizon temperature distribution. The black hole remote-sensing problem means to find out the "surface" temperature distribution of a small black hole from the spectral measurement of its (Hawking) grey pulse. This problem has been previously considered by Rosu, who used Chen's modified Möbius inverse transform. Here, we hint on a Ramanujan generalization of Chen's modified Möbius inverse transform that may be considered as a special wavelet processing of the remote-sensed grey signal coming from a black hole or any other distant grey source.

Download Full-text

Accretion Discs around Black Holes

International Astronomical Union Colloquium ◽

10.1017/s0252921100042603 ◽

1997 ◽

Vol 163 ◽

pp. 162-172 ◽

Cited By ~ 2

Author(s):

Rainer Wehrse

Keyword(s):

Inverse Problem ◽

Black Holes ◽

Recent Progress ◽

Spectral Lines ◽

Accretion Discs ◽

Crucial Importance ◽

Apparent Brightness ◽

Massive Black Holes ◽

Radiation Fields ◽

Temperature Distributions

AbstractThe structure of accretion discs around (super-)massive black holes is discussed in this contribution with special emphasis on the radiation fields. These are of crucial importance for the understanding of these objects since photons control in most cases not only the temperature distributions but also the pressures and shapes. Recent progress in the modelling of photon fields now provides the means for a much improved understanding of the consequences of the multidimensional structure of the discs as well as of the effects of the strong space time curvature and of the high velocities involved. However, the simultaneous inclusion of the NLTE level populations and of many spectral lines is still a major problem. It is also demonstrated that special and general relativity effects strongly distort the apparent brightness distributions and spectra such accretion discs so that a solution of the inverse problem will be very difficult.

Download Full-text