The equations are discussed and integrated near the Schwarzschild radius and for zero and large values of the radial coordinate. A covariant product of states is considered that is induced by a conserved current. It is shown the existence of states that are bound in the scalar product without ...
In two recent papers [4, 5], I solved the scalar geodesic equation for mass-bearing particles and massless particles (photons), in the most studied particular spaces: in the space of Schwarzschild's mass-point metric, in the space of an electrically charged mass-point (the Reissner-Nordstrom...
The magnitude of neglected terms in the generalized lens equation is estimated to be smaller than or equal to 15 Pi/4 (m/d')^2, where m is the Schwarzschild radius of massive body and d' is Chandrasekhar's impact parameter. The main applications of this generalized lens equation are ...
Apparent (radiation) radius of neutron star,R_\\infty, depends on the star gravitational mass in quite a different way than the standard coordinate radius in the Schwarzschild metric, R. We show that, for a broad set of equations of state of dense matter, R_\\infty(M_max) for the ...
A singular negative point mass resides at r = 0.关键词: classical and quantum mechanics, general physics black holes thermodynamic properties effective mass einstein field equations entropy equations of state metrics schwarzschild radius equations DOI: 10.1103/PhysRevD.29.628 被引量: 39 年份: 1984 ...
solution to give a new estimate on the lower bound of the first non-zero eigenvalue of a closed Riemannian manifold with a negative lower bound on the Ricci curvature in terms of the lower bound on the Ricci curvature and the largest interior radius of the nodal domains of the eigenfunction...
Using of the Correction Schwarzschild radius Equation and Its Application of the Black HolesMajida H. Al-kubaisy
The interior space-time of the spherical neutron star is matched to the exterior Schwarzschild line element at the surface of the star. TheM–Rcurve can predict the maximum achievable mass is about3.51M⊙with lowest possible radius of around10.5km for the massive compact stars under stable ...
It turns out that gravitational behavior is essentially similar in the critical dimensions for all n n . All static vacuum solutions asymptotically go over to the Einstein limit, Schwarzschild-dS/AdS. The thermodynamical parameters bear the same relation to horizon radius, for example entropy always...
If corrections $\\sim 1/R$ are added to $U$, for $\\gamma\\in[0,\\frac{1}{3}]$ we found no limitation on the allowed value for the areal radius of the trapped sphere $R$. Moreover, for $\\gamma>\\frac{1}{3}$ we have a minimum allowed value for $R$ of the order of ...