"Penrose inequality" for photon surface

  • Event Date: 2017-03-28
  • Particle/String/Cosmology
  • Speaker: Prof. Keisuke Izumi (Nagoya U)  /  Host: Prof. Chong-Sun Chu (NCTS/NTHU)
    Place: P512, 5F, General Building III, NTHU


Penrose inequality shows the maximum area of black hole horizon. Equality holds iff spacetime metric is Schwarzschild solution. We do a similar discussion for “photon surface”, not for horizon. We introduce a concept showing the strong gravity region “loosely trapped surface”. We proof that the area $A_0$ of loosely trapped surface satisfies the inequality $A_0 \le 4\pi (3Gm)^2$, where $m$ is ADM mass of the spacetime. The equality holds iff the spacetime metric is Schwarzschild solution, and then the loosely trapped surface is the photon sphere of Schwarzschild solution.