Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix

Under the dissipative effects of gravitational radiation, black hole binaries will transition from an inspiral to a plunge. The separatrix between bound and plunging orbits features prominently in the transition. For equatorial Kerr orbits, we show that the separatrix is a homoclinic orbit in one-to-one correspondence with an energetically-bound, unstable circular orbit. After providing a definition of homoclinic orbits, we exploit their correspondence with circular orbits and derive exact solutions for them. This paper focuses on homoclinic behavior in physical space, while in a companion paper we paint the complementary phase space portrait. The exact results for the Kerr separatrix could be useful for analytic or numerical studies of the transition from inspiral to plunge.Comment: 21 pages, some figure

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Taha Toros Arşivi, Dosya No: 228-Zeki Kuneral

Osmanlı şehzadelerinin hazin romanı

Taha Toros Arşivi, Dosya Adı: Son Halife Abdülmecit Efend

Banks’ lending behaviour under repressed financial regulatory environment: in the context of Myanmar

In an ideal world, banking operations should ensure that there is a match between business strategy and loan assessment behaviour (Berger and Udell, 2004). However, in reality, banks are confined within a highly institutionalised environment which shapes their lending behaviour. Banks operate between two spectra in terms of regulatory environment, with policies based either on financial repression or liberalisation. Repressive policies are more common in the banking sector than capital markets. According to McKinnon (1973), financial repression is defined by various policies whereby the state influences credit allocation in channelling financial resources to priority areas identified by the government and micromanaging banks’ lending behaviour through interest-rate caps, collateral requirements and capital controls. Financial liberalisation, on the other hand, is regarded as an efficient means of fostering competition and inviting growth impulses from abroad (Bartolini and Drazen, 1997). After a series of decisions supporting financial liberalisation which took place from the 1970s to the 1990s, this type of policy has been intensively studied by scholars. However, there is still no consensus on whether it has positive or negative impacts

Atatürk:İnsanları seven bir insan

Taha Toros Arşivi, Dosya Adı: 1939-2000 Atatürk'ü Anma TörenleriKıyafetine büyük özen gösterirdiPolisler gelince, Ata'ya koştukİnsanlık sevgisi ile dopdoluyd

Experimental confirmation of oscillating properties of the complex conductivity: Dielectric study of polymerization/vitrification reaction

Clear evidence of the existence of fractional kinetics containing the complex power-law exponents were obtained by conductivity measurements of polymerization reaction of polyvinylpyrrolidone (PVP) performed inside a dielectric cell. We established the relationship between the Fourier image R(jω) of the complex memory function K(t) and the time-dependent mean square displacement 〈r2(t)〉. This relationship helps to understand the origin of the different power-law exponents appearing in the real part of complex conductivity Re[σ(ω)] and find a physical/geometrical meaning of the power-law exponents that can form the complex-conjugated values. The complex-conjugated values of the power-law exponents leading to oscillating behavior of conductivity follows from the fractional kinetics suggested by one of the authors (R.R.N.). The relationships [R(jω)⇔Re[σ(ω)]⇔〈r2(t)〉] are becoming very efficient in classification of different types of collective motions belonging to light and heavy carriers involved in the relaxation/transfer process. The conductivity data obtained for Re[σ(ω)] during the whole polymerization process of the PVP at different temperatures (80, 90, 100 °C) are very well described by the fitting function that follows from the suggested theory. Original fitting procedure based on the application of the eigen-coordinates (ECs) method helps to provide a reliable fitting procedure in two stages and use the well-developed and statistically stable linear least square method (LLSM) for obtaining the correct values of the fitting parameters that describe the behavior of Re[σ(ω, Tr)] in the available frequency range for the current time of the chemical reaction Tr measured during the whole process of polymerization. The suggested theory gives a unique possibility to classify the basic types of motions that take place during the whole polymerization process. © 2007