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Stoytcho S Yazadjiev - One of the best experts on this subject based on the ideXlab platform.
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Uniqueness Theorem for static wormholes in einstein phantom scalar field theory
Physical Review D, 2017Co-Authors: Stoytcho S YazadjievAbstract:In the present paper we prove a Uniqueness Theorem for the regular static, traversable wormhole solutions to the Einstein-phantom scalar field theory with two asymptotically flat regions (ends). We show that when a certain condition on the asymptotic values of the scalar field is imposed such solutions are uniquely specified by their mass $M$ and the scalar charge $D$.The main arguments in the proof are based on the positive energy Theorem.
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a Uniqueness Theorem for stationary kaluza klein black holes
Communications in Mathematical Physics, 2011Co-Authors: Stefan Hollands, Stoytcho S YazadjievAbstract:We prove a Uniqueness Theorem for stationary D-dimensional Kaluza-Klein black holes with D − 2 Killing fields, generating the symmetry group R×U(1)D-3RU(1)D−3. It is shown that the topology and metric of such black holes is uniquely determined by the angular momenta and certain other invariants consisting of a number of real moduli, as well as integer vectors subject to certain constraints.
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a Uniqueness Theorem for stationary kaluza klein black holes
arXiv: General Relativity and Quantum Cosmology, 2008Co-Authors: Stefan Hollands, Stoytcho S YazadjievAbstract:We prove a Uniqueness Theorem for stationary $D$-dimensional Kaluza-Klein black holes with $D-2$ Killing fields, generating the symmetry group ${\mathbb R} \times U(1)^{D-3}$. It is shown that the topology and metric of such black holes is uniquely determined by the angular momenta and certain other invariants consisting of a number of real moduli, as well as integer vectors subject to certain constraints.
Malahayati Malahayati - One of the best experts on this subject based on the ideXlab platform.
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ANALISIS BEBERAPA TEOREMA KETUNGGALAN TITIK TETAP DI RUANG METRIK MULTIPLIKATIF (MULTIPLICATIVE METRIC SPACES)
Department of Mathematics Faculty of Science and Mathematics Diponegoro University, 2018Co-Authors: Malahayati MalahayatiAbstract:oai:jfma.math.fsm.undip.ac.id:article/5Abstract. This research was conducted to analyze several Theorems about fixed point Uniqueness on multiplicative metric space. Firstly, the proof of fixed point Uniqueness Theorem on complete multiplicative metric space is analyzed with involving multiplicative continuous functions. Then, several fixed point Uniqueness Theorems is analyzed without involving multiplicative continuous functions. The proof of fixed point Uniqueness Theorem on complete multiplicative metric space with involving multiplicative continuous functions can be done without requirement of contraction multiplicative mapping. If this mapping is satisfying a condition with involving multiplicative continuous functions then it was proven that it had the unique fixed point. Furthermore, the proof of fixed point Uniqueness Theorem on complete multiplicative metric space without involving multiplicative continuous functions can be done by requiring the mapping is contraction. Abstrak. Penelitian ini menganalisa beberapa teorema ketunggalan titik tetap di ruang metrik multiplikatif. Pembahasan diawali dengan menganalisa pembuktian teorema ketunggalan titik tetap di ruang metrik multiplikatif lengkap dengan melibatkan bantuan fungsi kontinu multiplikatif. Selanjutnya di analisa beberapa teorema ketunggalan titik tetap tanpa melibatkan fungsi kontinu multiplikatif. Pembuktian teorema ketunggalan titik tetap di ruang metrik multiplikatif lengkap dengan bantuan fungsi kontinu multiplikatif dapat dibuktikan tanpa mensyaratkan pemetaannya kontraksi multiplikatif. Apabila pemetaan tersebut memenuhi suatu kondisi dengan bantuan suatu fungsi kontinu multiplikatif maka terbukti mempunyai titik tetap tunggal. Sedangkan Pembuktian teorema ketunggalan titik tetap di ruang metrik multiplikatif lengkap tanpa bantuan fungsi kontinu multiplikatif dibuktikan dengan mensyaratkan pemetaannya kontraksi
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ANALISIS BEBERAPA TEOREMA KETUNGGALAN TITIK TETAP DI RUANG METRIK MULTIPLIKATIF (MULTIPLICATIVE METRIC SPACES)
'Institute of Research and Community Services Diponegoro University (LPPM UNDIP)', 2018Co-Authors: Malahayati MalahayatiAbstract:This research was conducted to analyze several Theorems about fixed point Uniqueness on multiplicative metric space. Firstly, the proof of fixed point Uniqueness Theorem on complete multiplicative metric space is analyzed with involving multiplicative continuous functions. Then, several fixed point Uniqueness Theorems is analyzed without involving multiplicative continuous functions. The proof of fixed point Uniqueness Theorem on complete multiplicative metric space with involving multiplicative continuous functions can be done without requirement of contraction multiplicative mapping. If this mapping is satisfying a condition with involving multiplicative continuous functions then it was proven that it had the unique fixed point. Furthermore, the proof of fixed point Uniqueness Theorem on complete multiplicative metric space without involving multiplicative continuous functions can be done by requiring the mapping is contraction
Troels Harmark - One of the best experts on this subject based on the ideXlab platform.
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Uniqueness Theorem for black hole space times with multiple disconnected horizons
Journal of High Energy Physics, 2010Co-Authors: Jay Armas, Troels HarmarkAbstract:We show Uniqueness of stationary and asymptotically flat black hole spacetimes with multiple disconnected horizons and with two rotational Killing vector fields in the context of five-dimensional minimal supergravity (Einstein-Maxwell-Chern-Simons gravity). The novelty in this work is the introduction in the Uniqueness Theorem of intrinsic local charges measured near each horizon as well as the measurement of local fluxes besides the asymptotic charges that characterize a particular solution. A systematic method of defining the boundary conditions on the fields that specify a black hole space-time is given based on the study of its rod structure (domain structure). Also, an analysis of known solutions with disconnected horizons is carried out as an example of an application of this Theorem. ”But the perfect scientist is also a gardener: he believes that beauty is knowledge.” Goncalo M. Tavares in Brief Notes on Science
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Uniqueness Theorem for black hole space times with multiple disconnected horizons
arXiv: High Energy Physics - Theory, 2009Co-Authors: Jay Armas, Troels HarmarkAbstract:We show Uniqueness of stationary and asymptotically flat black hole space-times with multiple disconnected horizons and with two rotational Killing vector fields in the context of five-dimensional minimal supergravity (Einstein-Maxwell-Chern-Simons gravity). The novelty in this work is the introduction in the Uniqueness Theorem of intrinsic local charges measured near each horizon as well as the measurement of local fluxes besides the asymptotic charges that characterize a particular solution. A systematic method of defining the boundary conditions on the fields that specify a black hole space-time is given based on the study of its rod structure (domain structure). Also, an analysis of known solutions with disconnected horizons is carried out as an example of an application of this Theorem.
Stefan Hollands - One of the best experts on this subject based on the ideXlab platform.
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a Uniqueness Theorem for stationary kaluza klein black holes
Communications in Mathematical Physics, 2011Co-Authors: Stefan Hollands, Stoytcho S YazadjievAbstract:We prove a Uniqueness Theorem for stationary D-dimensional Kaluza-Klein black holes with D − 2 Killing fields, generating the symmetry group R×U(1)D-3RU(1)D−3. It is shown that the topology and metric of such black holes is uniquely determined by the angular momenta and certain other invariants consisting of a number of real moduli, as well as integer vectors subject to certain constraints.
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a Uniqueness Theorem for stationary kaluza klein black holes
arXiv: General Relativity and Quantum Cosmology, 2008Co-Authors: Stefan Hollands, Stoytcho S YazadjievAbstract:We prove a Uniqueness Theorem for stationary $D$-dimensional Kaluza-Klein black holes with $D-2$ Killing fields, generating the symmetry group ${\mathbb R} \times U(1)^{D-3}$. It is shown that the topology and metric of such black holes is uniquely determined by the angular momenta and certain other invariants consisting of a number of real moduli, as well as integer vectors subject to certain constraints.
Jay Armas - One of the best experts on this subject based on the ideXlab platform.
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Uniqueness Theorem for black hole space times with multiple disconnected horizons
Journal of High Energy Physics, 2010Co-Authors: Jay Armas, Troels HarmarkAbstract:We show Uniqueness of stationary and asymptotically flat black hole spacetimes with multiple disconnected horizons and with two rotational Killing vector fields in the context of five-dimensional minimal supergravity (Einstein-Maxwell-Chern-Simons gravity). The novelty in this work is the introduction in the Uniqueness Theorem of intrinsic local charges measured near each horizon as well as the measurement of local fluxes besides the asymptotic charges that characterize a particular solution. A systematic method of defining the boundary conditions on the fields that specify a black hole space-time is given based on the study of its rod structure (domain structure). Also, an analysis of known solutions with disconnected horizons is carried out as an example of an application of this Theorem. ”But the perfect scientist is also a gardener: he believes that beauty is knowledge.” Goncalo M. Tavares in Brief Notes on Science
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Uniqueness Theorem for black hole space times with multiple disconnected horizons
arXiv: High Energy Physics - Theory, 2009Co-Authors: Jay Armas, Troels HarmarkAbstract:We show Uniqueness of stationary and asymptotically flat black hole space-times with multiple disconnected horizons and with two rotational Killing vector fields in the context of five-dimensional minimal supergravity (Einstein-Maxwell-Chern-Simons gravity). The novelty in this work is the introduction in the Uniqueness Theorem of intrinsic local charges measured near each horizon as well as the measurement of local fluxes besides the asymptotic charges that characterize a particular solution. A systematic method of defining the boundary conditions on the fields that specify a black hole space-time is given based on the study of its rod structure (domain structure). Also, an analysis of known solutions with disconnected horizons is carried out as an example of an application of this Theorem.
