It is more complicated than the Schwarzschild spacetime (only four regions). We need a thorough discussion on glueing of two adjacent spacetimes and two adjacent SSCMC hypersurfaces. The other difficulty is that the Reissner–Nordstrm spacetime metric has one more higher-order term in radius ...
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 ...
Consider the following intervals of Schwarzschild radius IH+ = [2m, (2 + δ1)m], Iint = [(2 + δ1)m, (3 − δ2)m], Ips = [(3 − δ2)m, (3 + δ3)m], (136) Iflat = [(3 + δ3)m, ∞), where we have suppressed the dependence on δ1, δ2, δ3 in the ...
Plots of expansion and its rate of change for model 1. Top left: classical vs effective θ as a function of the Schwarzschild time t. Top right: closeup of the effective θ as a function of t. Bottom left: classical vs effective dθ dτ as a function of t. Top right: closeup of...
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...
F.: Procedural Elements for Computer Graphics. Tom Casson, 2nd edn (1998) Google Scholar Schuster, A.: Radiation through a foggy atmosphere. Astrophys. J. McGraw-Hill Science/Engineering/Math; New York 21(1), 1–22 (1905) Google Scholar Schwarzschild, K.: On the equilibrium of the ...
Properties for a compact object, such as the mass-radius relationship, tidal deformability, the rate of cooling, etc., can be provided by a clear EoS. The most basic MIT Bag model EoS framework is employed in the majority of SS studies. It is considered that a constant pressure, known ...
This approach leads to a new escape radius, where ve = c equal to a half of the Schwarzschild radius. Furthermore, we show that one can derive the Friedmann equation for a critical universe from the escape velocity formula from general relativity theory. We also deriv...