Judul: Critical Points and Eigenvalues of Massive Particle Dynamics in Kerr 4+1 Dimensional Geometry
Abstrak: Pada penelitian sebelumnya telah dibentuk persamaan metrik dari geometri Kerr 4+1 dimensi. Penelitian ini memaparkan karakteristik dari geometri tersebut dengan menggunakan persamaan geodesik dan nilai eigen pada komponen dan . Persamaan geodesik memberikan suatu persamaan gerak yang menggambarkan kondisi partikel bermassa di sekitar geometri Kerr 4+1 dimensi pada kondisi karena objek bergerak pada bidang ekuator. Titik kritis didapatkan dengan saling mensubstitusi ekspresi komponen dan dengan bantuan software Wolfram Mathematica 9.0. Hasil nilai eigen yang didapat terdiri dari bilangan real dan imajiner yang berupa positif maupun negatif. Sehingga karakteristik titik kritis tersebut berupa unstable point dan unstable sadle tergantung dengan nilai parameter m, M, a, p, dan q yang disubstitusi., In previous research, only the metric equation of the 4+1 dimensional Kerr geometry has been established. So in this paper describes the characteristics of the geometry using geodesic equation and the eigenvalues of and components. The geodesic equation provides an motion equation that describes condition of the massive particle around the 4+1 dimensional Kerr geometry under the condition because the object moves on the equatorial plane. Critical points are obtained by substituting the expressions of of and components with the help of Wolfram Mathematica 9.0 software. The eigenvalue results obtained consists of real and imaginary numbers that are both positive and negative. So that the characteristics of the critical point are unstable point and unstable saddle depending on the substituted parameter values of m, M, a, p, and q.
Keyword: Nilai Eigen, Titik Kritis, Geometri Kerr 4+1 Dimensi, Partikel Bermassa

Judul: Metric Solution and Electromagnetic Field Tensor of Black Hole in 4+1 Dimensional Kerr-Newman Space-Time
Abstrak: Solusi metrik Kerr-Newman merupakan solusi paling umum untuk black hole. Konstruksi metrik pada dimensi 4+1 didasarkan pada asumsi bahwa hukum-hukum fisika berlaku di semua dimensi. Tujuan penelitian ini adalah untuk mengonstruksi solusi metrik Kerr-Newman 4+1 dimensi beserta tensor medan elektromagnetiknya. Dilakukan pengambilan tebakan, reverse engineering, analisis persamaan medan Einstein, manipulasi aljabar, dan pengambilan limitasi untuk mengonstruksi dan membuktikan solusi metrik dan tensor medan elektromagnetik. Terdapat komponen-komponen off-diagonal pada tensor metrik yang diperoleh. Hal ini berkaitan dengan keberadaan parameter momentum angular a. Keberadaan parameter muatan Q dan parameter momentum angular a pada black hole Kerr-Newman mengindikasikan keberadaan parameter magnetik yang muncul pada black hole Kerr-Newman. Keberadaan parameter magnetik berkontribusi dalam membentuk medan potensial yang diajukan, dimana medan potensial tersebut terbukti benar dengan menganalisis komponen-komponen tensor medan elektromagnetik yang diperoleh., Kerr-Newman metric solution is the most common solution of black hole. Metric construction on 4+1 dimensions based on the assumption that physics law valid in all dimension. The aims of this research is to construct Kerr-Newman metric solution in 4+1 dimension and it’s electromagnetic field tensor. Guesswork, reverse engineering, analysis of Einstein’s field equation, algebraic manipulation, and limitation taking are carried out to construct and prove metric solution and electromagnetic field tensor. There is off-diagonal components in metric tensor obtained. It is related to the existence of angular momentum parameter a. The existence of charge parameter Q and angular momentum parameter a in Kerr-Newman black hole indicates the existence of magnetic parameter which appear in Kerr-Newman black hole. Magnetic parameter existence is contribute in the forming of potential field which submitted, whereby this potential field is proven correct by analyzing electromagnetic field tensor components obtained.
Keyword: Einstein field equation, Electromagnetic field tensor, Kerr-Newman metric solution, Magnetic parameter

Judul: Amfibi sebagai satwa peliharaan: Ekspor, Impor dan Perdagangan Domestik
Abstrak: Indonesia has exported amphibian as frozen frog legs (listed since 1969 under fishery product) for consumption and live amphibian (listed since 1983 under reptilian class in forestry product) for pets. There are also live amphibian trading in local level i.e in markets and malls. This research aims to identify amphibian species exported and imported by investigating document from related administration and to identify amphibian species traded in domestic market by observation at Jakarta. Research is primarily conducted by processing quota data taken from Department of Forestry Republic of Indonesia database in Jakarta. Market observation was carried out in 18 locations (3 markets and 15 malls) in Jakarta. I carried out interview with trader and export business, which related to net trading live amphibians for pets. Respondent was choosen using snowball sampling manner. Name of species is written according to Iskandar & Coljin (2000). If there is no such record in the checklist (for example species are from outside Indonesia), then the species name is written according to Frost (2004). There are 56 species from eight families of wild amphibians that have pets quota between 1998-2008. Nineteen species was traded since 1983. The highest export quota is Litoria caerulea (21,37%). Allocation of highest catching quota is for BKSDA Jayapura (20,40%) and BKSDA Papua Barat (18,96%). Four species are included in IUCN Red List categories as vulnerable, among others are Limnonectes macrodon, Meristogenys jerboa, Nyctixalus margaritifer and Rhacophorus margaritifer. The number of amphibians that have export realization are 39 species. Two species of amphibian, Leptobrachium hasseltii and Rhacophorus margaritifer are amphibian species whose been known infected by chytrid fungus in the wild. The biggest species exported is Litoria caerulea (54,34%). Between 1983-1991, the biggest import amphibian for pets from Indonesia (66,13%) is Netherlands. Number of quota was relative stable in the last eight years, where as the number of export realization is more fluctuates. Amphibian species imported and re-exported between 1983-2008 come from Africa, South Asia, Malaysian, Archipelago Oceania, North America, Central America and South America. The number of pet amphibian species traded at domestic market is less than exported. Data showed that Indonesia imports 15 amphibian species between 1983-2008, However I found different species in the market that was unrecorded in the Ministry of Forestry data, which is the Fire Belly Salamander.
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