Abstract The article considers tidal forces in the vicinity of Kottler black hole. We find a solution geodesic deviation equation for radially falling bodies, which is determined by elliptic integrals. And also asymptotic behavior all spatial vector components were found. demonstrate that radial component force changes sign outside single event horizon any negative values cosmological constant,...

The conformal method for constructing initial data for Einstein’s equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and conformal thin sandwich formalism, respectively), and advantages due to the recent introduction of a weight-function in the extrinsic curvature decomposition are discussed. I then describe recent progress in numerical tech...

‎By the Mordell‎- ‎Weil theorem‎, ‎the group of rational points on an elliptic curve over a number field is a finitely generated abelian group‎. ‎This paper studies the rank of the family Epq:y2=x3-pqx of elliptic curves‎, ‎where p and q are distinct primes‎. ‎We give infinite families of elliptic curves of the form y2=x3-pqx with rank two‎, ‎three and four‎, ‎assuming a conjecture of Schinzel ...

‎In a (t,n)-threshold secret sharing scheme‎, ‎a secret s is distributed among n participants such that any group of t or more participants can reconstruct the secret together‎, ‎but no group of fewer than t participants can do‎. In this paper, we propose a verifiable (t,n)-threshold multi-secret sharing scheme based on Shao and Cao‎, ‎and the intractability of the elliptic curve discrete logar...

 The Mordell-Weil theorem states that the group of rational points‎ ‎on an elliptic curve over the rational numbers is a finitely‎ ‎generated abelian group‎. ‎In our previous paper, H‎. ‎Daghigh‎, ‎and S‎. ‎Didari‎, On the elliptic curves of the form $ y^2=x^3-3px$‎, ‎‎Bull‎. ‎Iranian Math‎. ‎Soc‎.‎‎ 40 (2014)‎, no‎. ‎5‎, ‎1119--1133‎.‎, ‎using Selmer groups‎, ‎we have shown that for a prime $p...

The first light detected from a relativistic region about a black hole was discovered by the ASCA satellite by Tanaka et al. (1995); Yaqoob et al. (1998). The now accepted theoretical model describing the broad X-ray emission lines is that of an accretion disk around either a Kerr or a Schwarzscild black hole (Laor 1991; Reynolds et al. 1995; Turner, George, Nandra, & Mushotzky 1997; Nandra et ...

The thermoelectroelastic GreenÕs functions are presented for an in®nite piezoelectric plate with an elliptic inclusion of dissimilar material induced by a thermal load located inside or on the boundary of the elliptic inclusion. The load may be a point heat source and the thermal analog of a line dislocation with temperature discontinuity. The derivation is based on the Stroh formalism, conform...

This paper is concerned with the Einstein equations in axisymmetric vacuum spacetimes. We consider numerical evolution schemes that solve the constraint equations as well as elliptic gauge conditions at each time step. We examine two such schemes that have been proposed in the literature and show that some of their elliptic equations are indefinite, thus potentially admitting nonunique solution...