Charged Rotating BTZ Black Hole and Thermodynamic Behavior of Field Equations at its Horizon

In this paper, we study different cases of the charged rotating BTZ black hole with reference to their horizons. For the existence of these cases conditions on mass, charge and angular momentum of the black hole are obtained. It is also shown that the Einstein field equations for the charged rotating BTZ black hole at the horizon can be expressed as first law of thermodynamics, $dE=TdS+\Omega dJ+\Phi dq+P_{r}dA$.Comment: 12 pages, 3 figure

UJI TOKSISITAS BERBAGAI JENIS DAN KONSENTRASI DETERJEN TERHADAP TINGKAT KERUSAKAN INSANG DAN MORTALITAS IKAN MAS (Cyprinus carpio)

Toxicity is toxic relative character related with its potential to cause negative effect for living creature. Water pollution is the entrance of living creature, element, energy, and another component in water by human activity so that the water quality decreased into certain level which caused the water couldn’t function as the general function. The research purpose is to find out the influence of various kind and concentrate of detergent to gills corruptness and mortality of gold fish (Cyprinus carpio), to find out the detergent brand which has the highest level to gold fish gills corruptness and mortality, beside, the research aimed to find out the influence of combination of kind and concentrate of detergent to the corruption of fish gills and mortality of gold fish. The research was true experimental research. The experiment design used complete random design with 20 treatments, they were four kinds of detergents and each of detergent has 0.08 mg/L, 0.04 g/L, 0.07 g/L, 0.10 g/L, 0.13 g/L concentrates. While 4 detergents used were Attack, Rinso, Wings biru, dan Krim ekonomi. Sampling technique used to Simple Random Sampling. Research indicator was the level of fish gills corruption and mortality of gold fish.. Data analysis used two way ANAVA continued with Duncan’s Test 1%. According to two way ANAVA test, there showed that there is influence of detergent kind and concentrate to the level of gills corruptness and mortality of Gold fish (Cyprinus carpio). From the Duncan’s Test 1%, concentrate of Wings Biru brand 0.13 g/L had the highest influence to the level of gills corruptness and mortality of gold fish. Attack Detergent concentrate 0.008 had the smallest influence

Dynamics and Thermodynamics of (2+1)-Dimensional Evolving Lorentzian Wormhole

In this paper we study the relationship between the Einstein field equations for the (2+1)-dimensional evolving wormhole and the first law of thermodynamics. It has been shown that the Einstein field equations can be rewritten as a similar form of the first law of thermodynamics at the dynamical trapping horizon (as proposed by Hayward) for the dynamical spacetime which describes intrinsic thermal properties associated with the trapping horizon. For a particular choice of the shape and potential functions we are able to express field equations as a similar form of first law of thermodynamics $dE=-TdS+WdA$ at the trapping horizons. Here $E=\rho A$, $T=-\kappa /2\pi$, $S=4\pi \tilde{r}_{A}$, $W=(\rho -p)/2$%, and $A=\pi \tilde{r}_{A}^{2}$, are the total matter energy, horizon temperature, wormhole entropy, work density and volume of the evolving wormhole respectively.Comment: 20 pages, 4 figures, paper presented at the 3rd Algerian Workshop on Astronomy and Astrophysic